63978264 has 96 divisors (see below), whose sum is σ = 201371040. Its totient is φ = 17971200.

The previous prime is 63978241. The next prime is 63978269. The reversal of 63978264 is 46287936.

63978264 is a `hidden beast` number, since 639 + 7 + 8 + 2 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63978269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29704 + ... + 31784.

It is an arithmetic number, because the mean of its divisors is an integer number (2097615).

Almost surely, 2^63978264 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 63978264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100685520).

63978264 is an abundant number, since it is smaller than the sum of its proper divisors (137392776).

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

63978264 is a wasteful number, since it uses less digits than its factorization.

63978264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2154 counting only the distinct ones).

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

The square root of 63978264 is about 7998.6413846353. The cubic root of 63978264 is about 399.9547115392.

The spelling of 63978264 in words is "sixty-three million, nine hundred seventy-eight thousand, two hundred sixty-four".