11932920 has 160 divisors (see below), whose sum is σ = 41817600. Its totient is φ = 3048192.

The previous prime is 11932919. The next prime is 11932933. The reversal of 11932920 is 2923911.

11932920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93897 + ... + 94023.

It is an arithmetic number, because the mean of its divisors is an integer number (261360).

Almost surely, 2^11932920 is an apocalyptic number.

11932920 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 11932920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908800).

11932920 is an abundant number, since it is smaller than the sum of its proper divisors (29884680).

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

11932920 is a wasteful number, since it uses less digits than its factorization.

11932920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11932920 is about 3454.4058823479. The cubic root of 11932920 is about 228.5154542997.

Subtracting from 11932920 its reverse (2923911), we obtain a palindrome (9009009).

The spelling of 11932920 in words is "eleven million, nine hundred thirty-two thousand, nine hundred twenty".