11557920 has 144 divisors (see below), whose sum is σ = 40219200. Its totient is φ = 2787840.

The previous prime is 11557919. The next prime is 11557933. The reversal of 11557920 is 2975511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57981 + ... + 58179.

It is an arithmetic number, because the mean of its divisors is an integer number (279300).

Almost surely, 2^11557920 is an apocalyptic number.

11557920 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 11557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600).

11557920 is an abundant number, since it is smaller than the sum of its proper divisors (28661280).

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

11557920 is a wasteful number, since it uses less digits than its factorization.

11557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 11557920 is about 3399.6941038864. The cubic root of 11557920 is about 226.0961816834.

The spelling of 11557920 in words is "eleven million, five hundred fifty-seven thousand, nine hundred twenty".