231688080 has 320 divisors, whose sum is σ = 886609920. Its totient is φ = 55240704.

The previous prime is 231688073. The next prime is 231688099. The reversal of 231688080 is 80886132.

231688080 = 440² + 441² + ... + 920².

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1038849 + ... + 1039071.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 2^231688080 is an apocalyptic number.

231688080 is a gapful number since it is divisible by the number (20) 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 231688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443304960).

231688080 is an abundant number, since it is smaller than the sum of its proper divisors (654921840).

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

231688080 is a wasteful number, since it uses less digits than its factorization.

231688080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 231688080 is about 15221.3034921455. The cubic root of 231688080 is about 614.1878631643.

The spelling of 231688080 in words is "two hundred thirty-one million, six hundred eighty-eight thousand, eighty".