63413264 has 40 divisors (see below), whose sum is σ = 133627608. Its totient is φ = 29030400.

The previous prime is 63413263. The next prime is 63413267. The reversal of 63413264 is 46231436.

It can be written as a sum of positive squares in 4 ways, for example, as 34339600 + 29073664 = 5860^2 + 5392^2 .

It is a super-2 number, since 2×63413264² = 8042484102267392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63413263) 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, 6914 + ... + 13214.

Almost surely, 2^63413264 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 63413264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66813804).

63413264 is an abundant number, since it is smaller than the sum of its proper divisors (70214344).

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

63413264 is a wasteful number, since it uses less digits than its factorization.

63413264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6357 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 63413264 is about 7963.2445648743. The cubic root of 63413264 is about 398.7738787402.

The spelling of 63413264 in words is "sixty-three million, four hundred thirteen thousand, two hundred sixty-four".