12532920 has 64 divisors (see below), whose sum is σ = 38154240. Its totient is φ = 3292800.

The previous prime is 12532873. The next prime is 12532931. The reversal of 12532920 is 2923521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7785 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (596160).

Almost surely, 2^12532920 is an apocalyptic number.

12532920 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 12532920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077120).

12532920 is an abundant number, since it is smaller than the sum of its proper divisors (25621320).

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

12532920 is a wasteful number, since it uses less digits than its factorization.

12532920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 12532920 is about 3540.1864357686. The cubic root of 12532920 is about 232.2829978957.

The spelling of 12532920 in words is "twelve million, five hundred thirty-two thousand, nine hundred twenty".