11796160 has 56 divisors (see below), whose sum is σ = 28382976. Its totient is φ = 4669440.

The previous prime is 11796139. The next prime is 11796173. The reversal of 11796160 is 6169711.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61024 + ... + 61216.

It is a vampire number, since it can be written as 1910 ⋅ 6176 (with its own digits).

Almost surely, 2^11796160 is an apocalyptic number.

11796160 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 11796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191488).

11796160 is an abundant number, since it is smaller than the sum of its proper divisors (16586816).

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

11796160 is a wasteful number, since it uses less digits than its factorization.

11796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 11796160 is about 3434.5538283742. The cubic root of 11796160 is about 227.6391130814.

The spelling of 11796160 in words is "eleven million, seven hundred ninety-six thousand, one hundred sixty".