63157680 has 60 divisors (see below), whose sum is σ = 212106960. Its totient is φ = 16841856.

The previous prime is 63157663. The next prime is 63157681. The reversal of 63157680 is 8675136.

63157680 is a `hidden beast` number, since 6 + 3 + 1 + 576 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (63157681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43140 + ... + 44579.

It is an arithmetic number, because the mean of its divisors is an integer number (3535116).

Almost surely, 2^63157680 is an apocalyptic number.

63157680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63157680 is an abundant number, since it is smaller than the sum of its proper divisors (148949280).

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

63157680 is a wasteful number, since it uses less digits than its factorization.

63157680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87738 (or 87729 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 63157680 is about 7947.1806321487. The cubic root of 63157680 is about 398.2374112772.

It can be divided in two parts, 631 and 57680, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 63157680 in words is "sixty-three million, one hundred fifty-seven thousand, six hundred eighty".