232576920 has 160 divisors (see below), whose sum is σ = 815965920. Its totient is φ = 59304960.

The previous prime is 232576919. The next prime is 232576933. The reversal of 232576920 is 29675232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72960 + ... + 76080.

It is an arithmetic number, because the mean of its divisors is an integer number (5099787).

Almost surely, 2^232576920 is an apocalyptic number.

232576920 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 232576920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407982960).

232576920 is an abundant number, since it is smaller than the sum of its proper divisors (583389000).

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

232576920 is a wasteful number, since it uses less digits than its factorization.

232576920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 232576920 is about 15250.4727795567. The cubic root of 232576920 is about 614.9722771560.

The spelling of 232576920 in words is "two hundred thirty-two million, five hundred seventy-six thousand, nine hundred twenty".