63113664 has 56 divisors (see below), whose sum is σ = 168523920. Its totient is φ = 20844544.

The previous prime is 63113663. The next prime is 63113669. The reversal of 63113664 is 46631136.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 (63113663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20242 + ... + 23150.

Almost surely, 2^63113664 is an apocalyptic number.

63113664 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 63113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84261960).

63113664 is an abundant number, since it is smaller than the sum of its proper divisors (105410256).

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

63113664 is a wasteful number, since it uses less digits than its factorization.

63113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3027 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 63113664 is about 7944.4108655079. The cubic root of 63113664 is about 398.1448762572.

The spelling of 63113664 in words is "sixty-three million, one hundred thirteen thousand, six hundred sixty-four".