233632564 has 24 divisors (see below), whose sum is σ = 472264128. Its totient is φ = 99949440.

The previous prime is 233632561. The next prime is 233632583. The reversal of 233632564 is 465236332.

It is a super-2 number, since 2×233632564² = 109168349922428192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233632561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 155424 + ... + 156919.

It is an arithmetic number, because the mean of its divisors is an integer number (19677672).

Almost surely, 2^233632564 is an apocalyptic number.

It is an amenable number.

233632564 is an abundant number, since it is smaller than the sum of its proper divisors (238631564).

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

233632564 is a wasteful number, since it uses less digits than its factorization.

233632564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312375 (or 312373 counting only the distinct ones).

The product of its digits is 77760, while the sum is 34.

The square root of 233632564 is about 15285.0438010494. The cubic root of 233632564 is about 615.9013060808.

Adding to 233632564 its reverse (465236332), we get a palindrome (698868896).

The spelling of 233632564 in words is "two hundred thirty-three million, six hundred thirty-two thousand, five hundred sixty-four".