231075264 has 112 divisors (see below), whose sum is σ = 735584000. Its totient is φ = 62539776.

The previous prime is 231075253. The next prime is 231075293. The reversal of 231075264 is 462570132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×231075264³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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, 21012 + ... + 30060.

Almost surely, 2^231075264 is an apocalyptic number.

231075264 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 231075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367792000).

231075264 is an abundant number, since it is smaller than the sum of its proper divisors (504508736).

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

231075264 is a wasteful number, since it uses less digits than its factorization.

231075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090 (or 9080 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 231075264 is about 15201.1599557402. The cubic root of 231075264 is about 613.6458751547.

The spelling of 231075264 in words is "two hundred thirty-one million, seventy-five thousand, two hundred sixty-four".