232752640 has 160 divisors (see below), whose sum is σ = 601032960. Its totient is φ = 86237184.

The previous prime is 232752587. The next prime is 232752671. The reversal of 232752640 is 46257232.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3473887 + ... + 3473953.

It is an arithmetic number, because the mean of its divisors is an integer number (3756456).

Almost surely, 2^232752640 is an apocalyptic number.

232752640 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 232752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

232752640 is an abundant number, since it is smaller than the sum of its proper divisors (368280320).

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

232752640 is an equidigital number, since it uses as much as digits as its factorization.

232752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 232752640 is about 15256.2328246524. The cubic root of 232752640 is about 615.1271158575.

The spelling of 232752640 in words is "two hundred thirty-two million, seven hundred fifty-two thousand, six hundred forty".