63042624 has 70 divisors (see below), whose sum is σ = 186893454. Its totient is φ = 21012480.

The previous prime is 63042619. The next prime is 63042641. The reversal of 63042624 is 42624036.

63042624 is a `hidden beast` number, since 6 + 30 + 4 + 2 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46785600 + 16257024 = 6840^2 + 4032^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 897 + ... + 11264.

Almost surely, 2^63042624 is an apocalyptic number.

63042624 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 63042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93446727).

63042624 is an abundant number, since it is smaller than the sum of its proper divisors (123850830).

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

63042624 is a wasteful number, since it uses less digits than its factorization.

63042624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12185 (or 12166 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 63042624 is about 7939.9385388049. The cubic root of 63042624 is about 397.9954377733.

The spelling of 63042624 in words is "sixty-three million, forty-two thousand, six hundred twenty-four".