231167664 has 360 divisors, whose sum is σ = 849588480. Its totient is φ = 57328128.

The previous prime is 231167659. The next prime is 231167669. The reversal of 231167664 is 466761132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231167659) and next prime (231167669).

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.

It is not an unprimeable number, because it can be changed into a prime (231167669) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3918067 + ... + 3918125.

It is an arithmetic number, because the mean of its divisors is an integer number (2359968).

Almost surely, 2^231167664 is an apocalyptic number.

231167664 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 231167664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424794240).

231167664 is an abundant number, since it is smaller than the sum of its proper divisors (618420816).

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

231167664 is a wasteful number, since it uses less digits than its factorization.

231167664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 231167664 is about 15204.1988937267. The cubic root of 231167664 is about 613.7276570554.

The spelling of 231167664 in words is "two hundred thirty-one million, one hundred sixty-seven thousand, six hundred sixty-four".