634894560 has 144 divisors (see below), whose sum is σ = 2194395840. Its totient is φ = 167132160.

The previous prime is 634894549. The next prime is 634894571. The reversal of 634894560 is 65498436.

634894560 is a `hidden beast` number, since 6 + 3 + 4 + 89 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (634894549) and next prime (634894571).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×634894560² = 806182204635187200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 110970 + ... + 116550.

It is an arithmetic number, because the mean of its divisors is an integer number (15238860).

Almost surely, 2^634894560 is an apocalyptic number.

634894560 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 634894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097197920).

634894560 is an abundant number, since it is smaller than the sum of its proper divisors (1559501280).

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

634894560 is a wasteful number, since it uses less digits than its factorization.

634894560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 634894560 is about 25197.1141204702. The cubic root of 634894560 is about 859.4762269475.

The spelling of 634894560 in words is "six hundred thirty-four million, eight hundred ninety-four thousand, five hundred sixty".