231897600 has 480 divisors, whose sum is σ = 943778880. Its totient is φ = 55296000.

The previous prime is 231897563. The next prime is 231897613. The reversal of 231897600 is 6798132.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3801570 + ... + 3801630.

It is an arithmetic number, because the mean of its divisors is an integer number (1966206).

Almost surely, 2^231897600 is an apocalyptic number.

231897600 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 231897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471889440).

231897600 is an abundant number, since it is smaller than the sum of its proper divisors (711881280).

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

231897600 is a wasteful number, since it uses less digits than its factorization.

231897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 231897600 is about 15228.1843960467. The cubic root of 231897600 is about 614.3729480277.

The spelling of 231897600 in words is "two hundred thirty-one million, eight hundred ninety-seven thousand, six hundred".