11661120 has 84 divisors (see below), whose sum is σ = 40119300. Its totient is φ = 3108864.

The previous prime is 11661119. The next prime is 11661121. The reversal of 11661120 is 2116611.

11661120 is a `hidden beast` number, since 1 + 1 + 661 + 1 + 2 + 0 = 666.

11661120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11661119) and next prime (11661121).

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 8156736 = 1872^2 + 2856^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11661093 and 11661102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11661121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856 + ... + 4904.

Almost surely, 2^11661120 is an apocalyptic number.

11661120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059650).

11661120 is an abundant number, since it is smaller than the sum of its proper divisors (28458180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11661120 is a wasteful number, since it uses less digits than its factorization.

11661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11661120 is about 3414.8382099303. The cubic root of 11661120 is about 226.7671219476.

Adding to 11661120 its reverse (2116611), we get a palindrome (13777731).

It can be divided in two parts, 11661 and 120, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 11661120 in words is "eleven million, six hundred sixty-one thousand, one hundred twenty".