634824960 has 576 divisors, whose sum is σ = 2684344320. Its totient is φ = 123863040.

The previous prime is 634824959. The next prime is 634824973. The reversal of 634824960 is 69428436.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5617864 + ... + 5617976.

It is an arithmetic number, because the mean of its divisors is an integer number (4660320).

Almost surely, 2^634824960 is an apocalyptic number.

634824960 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 634824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342172160).

634824960 is an abundant number, since it is smaller than the sum of its proper divisors (2049519360).

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

634824960 is a wasteful number, since it uses less digits than its factorization.

634824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 634824960 is about 25195.7329720729. The cubic root of 634824960 is about 859.4448192486. Note that the first 3 decimals are identical.

The spelling of 634824960 in words is "six hundred thirty-four million, eight hundred twenty-four thousand, nine hundred sixty".