1161120 has 96 divisors (see below), whose sum is σ = 3810240. Its totient is φ = 296960.

The previous prime is 1161113. The next prime is 1161137. The reversal of 1161120 is 211611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1161096 and 1161105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19651 + ... + 19709.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2^1161120 is an apocalyptic number.

1161120 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 1161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120).

1161120 is an abundant number, since it is smaller than the sum of its proper divisors (2649120).

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

1161120 is a wasteful number, since it uses less digits than its factorization.

1161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1161120 is about 1077.5527829299. The cubic root of 1161120 is about 105.1055627701.

Adding to 1161120 its reverse (211611), we get a palindrome (1372731).

The spelling of 1161120 in words is "one million, one hundred sixty-one thousand, one hundred twenty".