63624444 has 72 divisors (see below), whose sum is σ = 162635760. Its totient is φ = 19348992.

The previous prime is 63624443. The next prime is 63624461. The reversal of 63624444 is 44442636.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (55296) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63624443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277722 + ... + 277950.

It is an arithmetic number, because the mean of its divisors is an integer number (2258830).

Almost surely, 2^63624444 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 63624444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81317880).

63624444 is an abundant number, since it is smaller than the sum of its proper divisors (99011316).

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

63624444 is a wasteful number, since it uses less digits than its factorization.

63624444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

The square root of 63624444 is about 7976.4932144395. The cubic root of 63624444 is about 399.2160562509.

The spelling of 63624444 in words is "sixty-three million, six hundred twenty-four thousand, four hundred forty-four".