231432768 has 336 divisors, whose sum is σ = 836127360. Its totient is φ = 61461504.

The previous prime is 231432757. The next prime is 231432811. The reversal of 231432768 is 867234132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×231432768² = 107122252208283648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (48384) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4366630 + ... + 4366682.

Almost surely, 2^231432768 is an apocalyptic number.

231432768 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 231432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418063680).

231432768 is an abundant number, since it is smaller than the sum of its proper divisors (604694592).

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

231432768 is a wasteful number, since it uses less digits than its factorization.

231432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 231432768 is about 15212.9145136624. The cubic root of 231432768 is about 613.9621758717.

The spelling of 231432768 in words is "two hundred thirty-one million, four hundred thirty-two thousand, seven hundred sixty-eight".