63416064 has 72 divisors (see below), whose sum is σ = 171303552. Its totient is φ = 20823040.

The previous prime is 63416063. The next prime is 63416077. The reversal of 63416064 is 46061436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63416063) 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, 53947 + ... + 55109.

It is an arithmetic number, because the mean of its divisors is an integer number (2379216).

Almost surely, 2^63416064 is an apocalyptic number.

63416064 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 63416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85651776).

63416064 is an abundant number, since it is smaller than the sum of its proper divisors (107887488).

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

63416064 is a wasteful number, since it uses less digits than its factorization.

63416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 63416064 is about 7963.4203706699. The cubic root of 63416064 is about 398.7797479141.

The spelling of 63416064 in words is "sixty-three million, four hundred sixteen thousand, sixty-four".