63792160 has 96 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 23457792.

The previous prime is 63792149. The next prime is 63792161. The reversal of 63792160 is 6129736.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (63792161) 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, 127591 + ... + 128089.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^63792160 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 63792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

63792160 is an abundant number, since it is smaller than the sum of its proper divisors (99503840).

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

63792160 is a wasteful number, since it uses less digits than its factorization.

63792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 63792160 is about 7986.9994365844. Note that the first 3 decimals coincide. The cubic root of 63792160 is about 399.5665304300.

The spelling of 63792160 in words is "sixty-three million, seven hundred ninety-two thousand, one hundred sixty".