634052160 has 252 divisors, whose sum is σ = 2537501148. Its totient is φ = 144893952.

The previous prime is 634052149. The next prime is 634052203. The reversal of 634052160 is 61250436.

634052160 is a `hidden beast` number, since 634 + 0 + 5 + 21 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 491774976 + 142277184 = 22176^2 + 11928^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138874 + ... + 143366.

It is an arithmetic number, because the mean of its divisors is an integer number (10069449).

Almost surely, 2^634052160 is an apocalyptic number.

634052160 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 634052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268750574).

634052160 is an abundant number, since it is smaller than the sum of its proper divisors (1903448988).

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

634052160 is a wasteful number, since it uses less digits than its factorization.

634052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 634052160 is about 25180.3923718436. The cubic root of 634052160 is about 859.0959311341.

The spelling of 634052160 in words is "six hundred thirty-four million, fifty-two thousand, one hundred sixty".