634880000 has 160 divisors (see below), whose sum is σ = 1637850720. Its totient is φ = 245760000.

The previous prime is 634879981. The next prime is 634880021. The reversal of 634880000 is 88436.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×634880000² = 806145228800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20479985 + ... + 20480015.

It is an arithmetic number, because the mean of its divisors is an integer number (10236567).

Almost surely, 2^634880000 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 634880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818925360).

634880000 is an abundant number, since it is smaller than the sum of its proper divisors (1002970720).

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

634880000 is an frugal number, since it uses more digits than its factorization.

634880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 634880000 is about 25196.8251968378. The cubic root of 634880000 is about 859.4696567912.

The spelling of 634880000 in words is "six hundred thirty-four million, eight hundred eighty thousand".