63114304 has 56 divisors (see below), whose sum is σ = 140378688. Its totient is φ = 27901440.

The previous prime is 63114283. The next prime is 63114307. The reversal of 63114304 is 40341136.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (63114307) 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, 24837 + ... + 27259.

Almost surely, 2^63114304 is an apocalyptic number.

63114304 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 63114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70189344).

63114304 is an abundant number, since it is smaller than the sum of its proper divisors (77264384).

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

63114304 is a wasteful number, since it uses less digits than its factorization.

63114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 63114304 is about 7944.4511452963. The cubic root of 63114304 is about 398.1462220401.

The spelling of 63114304 in words is "sixty-three million, one hundred fourteen thousand, three hundred four".