63916160 has 128 divisors (see below), whose sum is σ = 190650240. Its totient is φ = 19906560.

The previous prime is 63916159. The next prime is 63916169. The reversal of 63916160 is 6161936.

63916160 = 200² + 201² + ... + 584².

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (63916169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48632 + ... + 49928.

It is an arithmetic number, because the mean of its divisors is an integer number (1489455).

Almost surely, 2^63916160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95325120).

63916160 is an abundant number, since it is smaller than the sum of its proper divisors (126734080).

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

63916160 is a wasteful number, since it uses less digits than its factorization.

63916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 63916160 is about 7994.7582827750. The cubic root of 63916160 is about 399.8252570067.

It can be divided in two parts, 639 and 16160, that multiplied together give a triangular number (10326240 = T₄₅₄₄).

The spelling of 63916160 in words is "sixty-three million, nine hundred sixteen thousand, one hundred sixty".