634096900 has 36 divisors (see below), whose sum is σ = 1383981732. Its totient is φ = 252165760.

The previous prime is 634096849. The next prime is 634096921. The reversal of 634096900 is 9690436.

It can be written as a sum of positive squares in 6 ways, for example, as 1473796 + 632623104 = 1214^2 + 25152^2 .

It is a super-2 number, since 2×634096900² = 804157757179220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 634096900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1027 + ... + 35626.

It is an arithmetic number, because the mean of its divisors is an integer number (38443937).

Almost surely, 2^634096900 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 634096900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691990866).

634096900 is an abundant number, since it is smaller than the sum of its proper divisors (749884832).

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

634096900 is a wasteful number, since it uses less digits than its factorization.

634096900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36840 (or 36833 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 634096900 is about 25181.2807458239. The cubic root of 634096900 is about 859.1161371731.

The spelling of 634096900 in words is "six hundred thirty-four million, ninety-six thousand, nine hundred".