63874944 has 144 divisors (see below), whose sum is σ = 212451720. Its totient is φ = 18044928.

The previous prime is 63874931. The next prime is 63874957. The reversal of 63874944 is 44947836.

63874944 is a `hidden beast` number, since 638 + 7 + 4 + 9 + 4 + 4 = 666.

63874944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63874931) and next prime (63874957).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 63874944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 717652 + ... + 717740.

Almost surely, 2^63874944 is an apocalyptic number.

63874944 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 63874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106225860).

63874944 is an abundant number, since it is smaller than the sum of its proper divisors (148576776).

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

63874944 is an equidigital number, since it uses as much as digits as its factorization.

63874944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 101 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 63874944 is about 7992.1801781491. The cubic root of 63874944 is about 399.7392967882.

The spelling of 63874944 in words is "sixty-three million, eight hundred seventy-four thousand, nine hundred forty-four".