231264768 has 160 divisors (see below), whose sum is σ = 713775744. Its totient is φ = 65175552.

The previous prime is 231264749. The next prime is 231264823. The reversal of 231264768 is 867462132.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 1472946 + ... + 1473102.

Almost surely, 2^231264768 is an apocalyptic number.

231264768 is a gapful number since it is divisible by the number (28) 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 231264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356887872).

231264768 is an abundant number, since it is smaller than the sum of its proper divisors (482510976).

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

231264768 is a wasteful number, since it uses less digits than its factorization.

231264768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 231264768 is about 15207.3918868424. The cubic root of 231264768 is about 613.8135789166.

The spelling of 231264768 in words is "two hundred thirty-one million, two hundred sixty-four thousand, seven hundred sixty-eight".