233655264 has 72 divisors (see below), whose sum is σ = 674430120. Its totient is φ = 76716288.

The previous prime is 233655251. The next prime is 233655307. The reversal of 233655264 is 462556332.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13242 + ... + 25350.

It is an arithmetic number, because the mean of its divisors is an integer number (9367085).

Almost surely, 2^233655264 is an apocalyptic number.

233655264 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 233655264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337215060).

233655264 is an abundant number, since it is smaller than the sum of its proper divisors (440774856).

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

233655264 is a wasteful number, since it uses less digits than its factorization.

233655264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192 (or 12181 counting only the distinct ones).

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

The square root of 233655264 is about 15285.7863389490. The cubic root of 233655264 is about 615.9212526536.

It can be divided in two parts, 2336 and 55264, that added together give a square (57600 = 240²).

The spelling of 233655264 in words is "two hundred thirty-three million, six hundred fifty-five thousand, two hundred sixty-four".