634400 has 72 divisors (see below), whose sum is σ = 1695204. Its totient is φ = 230400.

The previous prime is 634397. The next prime is 634421. The reversal of 634400 is 4436.

It can be written as a sum of positive squares in 6 ways, for example, as 13456 + 620944 = 116^2 + 788^2 .

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, 10370 + ... + 10430.

2⁶³⁴⁴⁰⁰ 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 634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847602).

634400 is an abundant number, since it is smaller than the sum of its proper divisors (1060804).

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

634400 is a wasteful number, since it uses less digits than its factorization.

634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 634400 is about 796.4923100696. The cubic root of 634400 is about 85.9253001966.

Adding to 634400 its reverse (4436), we get a palindrome (638836).

The spelling of 634400 in words is "six hundred thirty-four thousand, four hundred".