233328560 has 80 divisors (see below), whose sum is σ = 570124224. Its totient is φ = 88636416.

The previous prime is 233328547. The next prime is 233328593. The reversal of 233328560 is 65823332.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317954 + ... + 318686.

Almost surely, 2^233328560 is an apocalyptic number.

233328560 is a gapful number since it is divisible by the number (20) 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 233328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285062112).

233328560 is an abundant number, since it is smaller than the sum of its proper divisors (336795664).

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

233328560 is a wasteful number, since it uses less digits than its factorization.

233328560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 233328560 is about 15275.0960717110. The cubic root of 233328560 is about 615.6340520541.

The spelling of 233328560 in words is "two hundred thirty-three million, three hundred twenty-eight thousand, five hundred sixty".