233328960 has 84 divisors (see below), whose sum is σ = 802564308. Its totient is φ = 62220288.

The previous prime is 233328943. The next prime is 233329007. The reversal of 233328960 is 69823332.

It can be written as a sum of positive squares in 2 ways, for example, as 173606976 + 59721984 = 13176^2 + 7728^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37629 + ... + 43388.

It is an arithmetic number, because the mean of its divisors is an integer number (9554337).

Almost surely, 2^233328960 is an apocalyptic number.

233328960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233328960 is an abundant number, since it is smaller than the sum of its proper divisors (569235348).

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

233328960 is a wasteful number, since it uses less digits than its factorization.

233328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81040 (or 81027 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 233328960 is about 15275.1091649127. The cubic root of 233328960 is about 615.6344038520.

The spelling of 233328960 in words is "two hundred thirty-three million, three hundred twenty-eight thousand, nine hundred sixty".