635998560 has 192 divisors, whose sum is σ = 2174122944. Its totient is φ = 155648000.

The previous prime is 635998499. The next prime is 635998567. The reversal of 635998560 is 65899536.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635998567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333610 + ... + 335510.

It is an arithmetic number, because the mean of its divisors is an integer number (11323557).

Almost surely, 2^635998560 is an apocalyptic number.

635998560 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 635998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087061472).

635998560 is an abundant number, since it is smaller than the sum of its proper divisors (1538124384).

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

635998560 is a wasteful number, since it uses less digits than its factorization.

635998560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The square root of 635998560 is about 25219.0118759637. The cubic root of 635998560 is about 859.9741113534.

The spelling of 635998560 in words is "six hundred thirty-five million, nine hundred ninety-eight thousand, five hundred sixty".