12932920 has 256 divisors, whose sum is σ = 43545600. Its totient is φ = 3317760.

The previous prime is 12932911. The next prime is 12932951. The reversal of 12932920 is 2923921.

12932920 is digitally balanced in base 2 and base 8, 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 (28).

12932920 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680671 + ... + 680689.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^12932920 is an apocalyptic number.

12932920 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 12932920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

12932920 is an abundant number, since it is smaller than the sum of its proper divisors (30612680).

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

12932920 is a wasteful number, since it uses less digits than its factorization.

12932920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 12932920 is about 3596.2369221173. The cubic root of 12932920 is about 234.7283415859.

The spelling of 12932920 in words is "twelve million, nine hundred thirty-two thousand, nine hundred twenty".