233120560 has 40 divisors (see below), whose sum is σ = 560700720. Its totient is φ = 90031872.

The previous prime is 233120543. The next prime is 233120581. The reversal of 233120560 is 65021332.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47922 + ... + 52561.

It is an arithmetic number, because the mean of its divisors is an integer number (14017518).

Almost surely, 2^233120560 is an apocalyptic number.

233120560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233120560 is an abundant number, since it is smaller than the sum of its proper divisors (327580160).

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

233120560 is a wasteful number, since it uses less digits than its factorization.

233120560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100525 (or 100519 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 233120560 is about 15268.2860858709. The cubic root of 233120560 is about 615.4510626647.

Adding to 233120560 its reverse (65021332), we get a palindrome (298141892).

The spelling of 233120560 in words is "two hundred thirty-three million, one hundred twenty thousand, five hundred sixty".