232627680 has 96 divisors (see below), whose sum is σ = 814212000. Its totient is φ = 62032896.

The previous prime is 232627679. The next prime is 232627693. The reversal of 232627680 is 86726232.

232627680 is a `hidden beast` number, since 23 + 2 + 627 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 22605 + ... + 31244.

It is an arithmetic number, because the mean of its divisors is an integer number (8481375).

Almost surely, 2^232627680 is an apocalyptic number.

232627680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232627680 is an abundant number, since it is smaller than the sum of its proper divisors (581584320).

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

232627680 is a wasteful number, since it uses less digits than its factorization.

232627680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53873 (or 53859 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 232627680 is about 15252.1368994643. The cubic root of 232627680 is about 615.0170132117.

The spelling of 232627680 in words is "two hundred thirty-two million, six hundred twenty-seven thousand, six hundred eighty".