63990144 has 48 divisors (see below), whose sum is σ = 184141620. Its totient is φ = 21329664.

The previous prime is 63990103. The next prime is 63990187. The reversal of 63990144 is 44109936.

63990144 is a `hidden beast` number, since 639 + 9 + 0 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63990099 and 63990108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26622 + ... + 28925.

Almost surely, 2^63990144 is an apocalyptic number.

63990144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

63990144 is an abundant number, since it is smaller than the sum of its proper divisors (120151476).

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

63990144 is a wasteful number, since it uses less digits than its factorization.

63990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55567 (or 55552 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 63990144 is about 7999.3839762822. The cubic root of 63990144 is about 399.9794656125.

The spelling of 63990144 in words is "sixty-three million, nine hundred ninety thousand, one hundred forty-four".