11616840 has 144 divisors (see below), whose sum is σ = 40114620. Its totient is φ = 2914560.

The previous prime is 11616799. The next prime is 11616841. The reversal of 11616840 is 4861611.

11616840 is a `hidden beast` number, since 1 + 1 + 616 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10074276 + 1542564 = 3174^2 + 1242^2 .

It is not an unprimeable number, because it can be changed into a prime (11616841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190410 + ... + 190470.

Almost surely, 2^11616840 is an apocalyptic number.

11616840 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 11616840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20057310).

11616840 is an abundant number, since it is smaller than the sum of its proper divisors (28497780).

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

11616840 is a wasteful number, since it uses less digits than its factorization.

11616840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11616840 is about 3408.3485737231. The cubic root of 11616840 is about 226.4797286070.

It can be divided in two parts, 1161 and 6840, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 11616840 in words is "eleven million, six hundred sixteen thousand, eight hundred forty".