233604864 has 72 divisors (see below), whose sum is σ = 690831120. Its totient is φ = 77865984.

The previous prime is 233604863. The next prime is 233604869. The reversal of 233604864 is 468406332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (233604863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9987 + ... + 23810.

Almost surely, 2^233604864 is an apocalyptic number.

233604864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233604864 is an abundant number, since it is smaller than the sum of its proper divisors (457226256).

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

233604864 is an equidigital number, since it uses as much as digits as its factorization.

233604864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33822 (or 33802 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 233604864 is about 15284.1376596784. The cubic root of 233604864 is about 615.8769642393.

It can be divided in two parts, 23360 and 4864, that added together give a square (28224 = 168²).

The spelling of 233604864 in words is "two hundred thirty-three million, six hundred four thousand, eight hundred sixty-four".