63512064 has 240 divisors, whose sum is σ = 229806720. Its totient is φ = 16404480.

The previous prime is 63512027. The next prime is 63512069. The reversal of 63512064 is 46021536.

63512064 is a `hidden beast` number, since 635 + 1 + 20 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63512069) 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, 354727 + ... + 354905.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^63512064 is an apocalyptic number.

63512064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

63512064 is an abundant number, since it is smaller than the sum of its proper divisors (166294656).

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

63512064 is a wasteful number, since it uses less digits than its factorization.

63512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 63512064 is about 7969.4456519886. The cubic root of 63512064 is about 398.9808723188.

The spelling of 63512064 in words is "sixty-three million, five hundred twelve thousand, sixty-four".