634951680 has 192 divisors, whose sum is σ = 2217196800. Its totient is φ = 153845760.

The previous prime is 634951679. The next prime is 634951711. The reversal of 634951680 is 86159436.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336981 + ... + 338859.

It is an arithmetic number, because the mean of its divisors is an integer number (11547900).

Almost surely, 2^634951680 is an apocalyptic number.

634951680 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 634951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108598400).

634951680 is an abundant number, since it is smaller than the sum of its proper divisors (1582245120).

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

634951680 is a wasteful number, since it uses less digits than its factorization.

634951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 634951680 is about 25198.2475581140. The cubic root of 634951680 is about 859.5020012062.

The spelling of 634951680 in words is "six hundred thirty-four million, nine hundred fifty-one thousand, six hundred eighty".