63913680 has 120 divisors (see below), whose sum is σ = 222117480. Its totient is φ = 16450560.

The previous prime is 63913679. The next prime is 63913691. The reversal of 63913680 is 8631936.

It is a happy number.

63913680 is a `hidden beast` number, since 639 + 13 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21455424 + 42458256 = 4632^2 + 6516^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×63913680² = 8169916982284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19350 + ... + 22410.

It is an arithmetic number, because the mean of its divisors is an integer number (1850979).

Almost surely, 2^63913680 is an apocalyptic number.

63913680 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 63913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111058740).

63913680 is an abundant number, since it is smaller than the sum of its proper divisors (158203800).

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

63913680 is a wasteful number, since it uses less digits than its factorization.

63913680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 63913680 is about 7994.6031796456. The cubic root of 63913680 is about 399.8200857560.

The spelling of 63913680 in words is "sixty-three million, nine hundred thirteen thousand, six hundred eighty".