634008960 has 192 divisors, whose sum is σ = 2357999280. Its totient is φ = 156045312.

The previous prime is 634008943. The next prime is 634008983. The reversal of 634008960 is 69800436.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×634008960² = 803934722720563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70647 + ... + 79113.

Almost surely, 2^634008960 is an apocalyptic number.

634008960 is a gapful number since it is divisible by the number (60) 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 634008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178999640).

634008960 is an abundant number, since it is smaller than the sum of its proper divisors (1723990320).

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

634008960 is a wasteful number, since it uses less digits than its factorization.

634008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 634008960 is about 25179.5345469292. The cubic root of 634008960 is about 859.0764197072.

The spelling of 634008960 in words is "six hundred thirty-four million, eight thousand, nine hundred sixty".