634900 has 36 divisors (see below), whose sum is σ = 1576288. Its totient is φ = 217440.

The previous prime is 634891. The next prime is 634901. The reversal of 634900 is 9436.

634900 = 151² + 152² + ... + 174².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634901) by changing a digit.

634900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247 + ... + 1153.

2⁶³⁴⁹⁰⁰ 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 634900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788144).

634900 is an abundant number, since it is smaller than the sum of its proper divisors (941388).

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

634900 is a wasteful number, since it uses less digits than its factorization.

634900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 634900 is about 796.8061244745. The cubic root of 634900 is about 85.9478681705.

The spelling of 634900 in words is "six hundred thirty-four thousand, nine hundred".