231868800 has 288 divisors, whose sum is σ = 845961480. Its totient is φ = 60456960.

The previous prime is 231868787. The next prime is 231868823. The reversal of 231868800 is 8868132.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2390352 + ... + 2390448.

Almost surely, 2^231868800 is an apocalyptic number.

231868800 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 231868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422980740).

231868800 is an abundant number, since it is smaller than the sum of its proper divisors (614092680).

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

231868800 is a wasteful number, since it uses less digits than its factorization.

231868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

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

The square root of 231868800 is about 15227.2387516582. The cubic root of 231868800 is about 614.3475134200.

The spelling of 231868800 in words is "two hundred thirty-one million, eight hundred sixty-eight thousand, eight hundred".