11755920 has 160 divisors (see below), whose sum is σ = 40961664. Its totient is φ = 2764800.

The previous prime is 11755907. The next prime is 11755943. The reversal of 11755920 is 2955711.

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 31 ways as a sum of consecutive naturals, for example, 161004 + ... + 161076.

Almost surely, 2^11755920 is an apocalyptic number.

11755920 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 11755920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480832).

11755920 is an abundant number, since it is smaller than the sum of its proper divisors (29205744).

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

11755920 is a wasteful number, since it uses less digits than its factorization.

11755920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

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

The square root of 11755920 is about 3428.6907122107. The cubic root of 11755920 is about 227.3799713016.

The spelling of 11755920 in words is "eleven million, seven hundred fifty-five thousand, nine hundred twenty".