63900144 has 320 divisors, whose sum is σ = 244270080. Its totient is φ = 15482880.

The previous prime is 63900121. The next prime is 63900167. The reversal of 63900144 is 44100936.

It is an interprime number because it is at equal distance from previous prime (63900121) and next prime (63900167).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565432 + ... + 565544.

It is an arithmetic number, because the mean of its divisors is an integer number (763344).

Almost surely, 2^63900144 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 63900144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

63900144 is an abundant number, since it is smaller than the sum of its proper divisors (180369936).

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

63900144 is a wasteful number, since it uses less digits than its factorization.

63900144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 63900144 is about 7993.7565637190. The cubic root of 63900144 is about 399.7918583781.

The spelling of 63900144 in words is "sixty-three million, nine hundred thousand, one hundred forty-four".