232620800 has 108 divisors (see below), whose sum is σ = 606393480. Its totient is φ = 88104960.

The previous prime is 232620799. The next prime is 232620811. The reversal of 232620800 is 8026232.

232620800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232620800² = 108224873185280000, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120644 + ... + 122556.

Almost surely, 2^232620800 is an apocalyptic number.

232620800 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 232620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303196740).

232620800 is an abundant number, since it is smaller than the sum of its proper divisors (373772680).

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

232620800 is a wasteful number, since it uses less digits than its factorization.

232620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 232620800 is about 15251.9113556302. The cubic root of 232620800 is about 615.0109500771.

The spelling of 232620800 in words is "two hundred thirty-two million, six hundred twenty thousand, eight hundred".