231768768 has 224 divisors, whose sum is σ = 780092928. Its totient is φ = 58982400.

The previous prime is 231768749. The next prime is 231768787. The reversal of 231768768 is 867867132.

It is an interprime number because it is at equal distance from previous prime (231768749) and next prime (231768787).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901696 + ... + 901952.

Almost surely, 2^231768768 is an apocalyptic number.

231768768 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 231768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390046464).

231768768 is an abundant number, since it is smaller than the sum of its proper divisors (548324160).

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

231768768 is a wasteful number, since it uses less digits than its factorization.

231768768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 231768768 is about 15223.9537571552. The cubic root of 231768768 is about 614.2591541840.

The spelling of 231768768 in words is "two hundred thirty-one million, seven hundred sixty-eight thousand, seven hundred sixty-eight".