232564920 has 128 divisors (see below), whose sum is σ = 824947200. Its totient is φ = 51319296.

The previous prime is 232564919. The next prime is 232564957. The reversal of 232564920 is 29465232.

It is a congruent number.

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, 19587 + ... + 29133.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^232564920 is an apocalyptic number.

232564920 is a gapful number since it is divisible by the number (20) 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 232564920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

232564920 is an abundant number, since it is smaller than the sum of its proper divisors (592382280).

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

232564920 is a wasteful number, since it uses less digits than its factorization.

232564920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9593 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 232564920 is about 15250.0793440559. The cubic root of 232564920 is about 614.9617003051.

The spelling of 232564920 in words is "two hundred thirty-two million, five hundred sixty-four thousand, nine hundred twenty".