232553664 has 168 divisors, whose sum is σ = 769181088. Its totient is φ = 65802240.

The previous prime is 232553663. The next prime is 232553669. The reversal of 232553664 is 466355232.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (232553663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552174 + ... + 552594.

Almost surely, 2^232553664 is an apocalyptic number.

232553664 is a gapful number since it is divisible by the number (24) 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 232553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384590544).

232553664 is an abundant number, since it is smaller than the sum of its proper divisors (536627424).

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

232553664 is a wasteful number, since it uses less digits than its factorization.

232553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 232553664 is about 15249.7102923301. The cubic root of 232553664 is about 614.9517788882.

The spelling of 232553664 in words is "two hundred thirty-two million, five hundred fifty-three thousand, six hundred sixty-four".