63792648 has 48 divisors (see below), whose sum is σ = 175219200. Its totient is φ = 20963040.

The previous prime is 63792647. The next prime is 63792661. The reversal of 63792648 is 84629736.

63792648 is a `hidden beast` number, since 637 + 9 + 2 + 6 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (63792647) 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, 1128 + ... + 11351.

It is an arithmetic number, because the mean of its divisors is an integer number (3650400).

Almost surely, 2^63792648 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 63792648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87609600).

63792648 is an abundant number, since it is smaller than the sum of its proper divisors (111426552).

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

63792648 is a wasteful number, since it uses less digits than its factorization.

63792648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12562 (or 12555 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 63792648 is about 7987.0299861713. The cubic root of 63792648 is about 399.5675493011.

The spelling of 63792648 in words is "sixty-three million, seven hundred ninety-two thousand, six hundred forty-eight".