63997560 has 128 divisors (see below), whose sum is σ = 232761600. Its totient is φ = 15511680.

The previous prime is 63997559. The next prime is 63997579. The reversal of 63997560 is 6579936.

63997560 is a `hidden beast` number, since 639 + 9 + 7 + 5 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its 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 31 ways as a sum of consecutive naturals, for example, 9187 + ... + 14573.

It is an arithmetic number, because the mean of its divisors is an integer number (1818450).

Almost surely, 2^63997560 is an apocalyptic number.

63997560 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 63997560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116380800).

63997560 is an abundant number, since it is smaller than the sum of its proper divisors (168764040).

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

63997560 is a wasteful number, since it uses less digits than its factorization.

63997560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 63997560 is about 7999.8474985465. The cubic root of 63997560 is about 399.9949166021.

The spelling of 63997560 in words is "sixty-three million, nine hundred ninety-seven thousand, five hundred sixty".