63075264 has 112 divisors (see below), whose sum is σ = 193706496. Its totient is φ = 17740800.

The previous prime is 63075251. The next prime is 63075277. The reversal of 63075264 is 46257036.

It is an interprime number because it is at equal distance from previous prime (63075251) and next prime (63075277).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95094 + ... + 95754.

Almost surely, 2^63075264 is an apocalyptic number.

63075264 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 63075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96853248).

63075264 is an abundant number, since it is smaller than the sum of its proper divisors (130631232).

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

63075264 is a wasteful number, since it uses less digits than its factorization.

63075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 63075264 is about 7941.9937043541. The cubic root of 63075264 is about 398.0641126316.

The spelling of 63075264 in words is "sixty-three million, seventy-five thousand, two hundred sixty-four".