231615264 has 96 divisors (see below), whose sum is σ = 629487936. Its totient is φ = 74511360.

The previous prime is 231615253. The next prime is 231615269. The reversal of 231615264 is 462516132.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (231615269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 699579 + ... + 699909.

It is an arithmetic number, because the mean of its divisors is an integer number (6557166).

Almost surely, 2^231615264 is an apocalyptic number.

231615264 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 231615264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314743968).

231615264 is an abundant number, since it is smaller than the sum of its proper divisors (397872672).

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

231615264 is a wasteful number, since it uses less digits than its factorization.

231615264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 570 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 231615264 is about 15218.9113933947. The cubic root of 231615264 is about 614.1235131562.

It can be divided in two parts, 231 and 615264, that added together give a triangular number (615495 = T₁₁₀₉).

The spelling of 231615264 in words is "two hundred thirty-one million, six hundred fifteen thousand, two hundred sixty-four".