632800 has 72 divisors (see below), whose sum is σ = 1781136. Its totient is φ = 215040.

The previous prime is 632777. The next prime is 632813. The reversal of 632800 is 8236.

632800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 5544 + ... + 5656.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2⁶³²⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568).

632800 is an abundant number, since it is smaller than the sum of its proper divisors (1148336).

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

632800 is a wasteful number, since it uses less digits than its factorization.

632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 632800 is about 795.4872720541. The cubic root of 632800 is about 85.8530028968.

It can be divided in two parts, 63 and 2800, that multiplied together give a square (176400 = 420²).

The spelling of 632800 in words is "six hundred thirty-two thousand, eight hundred".