232653564 has 144 divisors (see below), whose sum is σ = 707650944. Its totient is φ = 63504000.

The previous prime is 232653563. The next prime is 232653569. The reversal of 232653564 is 465356232.

232653564 is a `hidden beast` number, since 2 + 32 + 65 + 3 + 564 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232653563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220839 + ... + 221889.

Almost surely, 2^232653564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232653564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353825472).

232653564 is an abundant number, since it is smaller than the sum of its proper divisors (474997380).

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

232653564 is a wasteful number, since it uses less digits than its factorization.

232653564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1123 counting only the distinct ones).

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

The square root of 232653564 is about 15252.9854126987. The cubic root of 232653564 is about 615.0398229220.

It can be divided in two parts, 232 and 653564, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 232653564 in words is "two hundred thirty-two million, six hundred fifty-three thousand, five hundred sixty-four".