232568640 has 168 divisors, whose sum is σ = 834956928. Its totient is φ = 59304960.

The previous prime is 232568629. The next prime is 232568657. The reversal of 232568640 is 46865232.

232568640 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 6 + 8 + 640 = 666.

It is a super-2 number, since 2×232568640² = 108176344622899200, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 232568595 and 232568604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64485 + ... + 67995.

Almost surely, 2^232568640 is an apocalyptic number.

232568640 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 232568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417478464).

232568640 is an abundant number, since it is smaller than the sum of its proper divisors (602388288).

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

232568640 is a wasteful number, since it uses less digits than its factorization.

232568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 232568640 is about 15250.2013101467. The cubic root of 232568640 is about 614.9649791678.

The spelling of 232568640 in words is "two hundred thirty-two million, five hundred sixty-eight thousand, six hundred forty".