63079344 has 80 divisors (see below), whose sum is σ = 182448640. Its totient is φ = 20865600.

The previous prime is 63079343. The next prime is 63079349. The reversal of 63079344 is 44397036.

63079344 is a `hidden beast` number, since 6 + 307 + 9 + 344 = 666.

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 = 63079299 and 63079308.

It is not an unprimeable number, because it can be changed into a prime (63079343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64749 + ... + 65715.

It is an arithmetic number, because the mean of its divisors is an integer number (2280608).

Almost surely, 2^63079344 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 63079344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91224320).

63079344 is an abundant number, since it is smaller than the sum of its proper divisors (119369296).

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

63079344 is a wasteful number, since it uses less digits than its factorization.

63079344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 63079344 is about 7942.2505626554. The cubic root of 63079344 is about 398.0726953229.

It can be divided in two parts, 6307 and 9344, that added together give a palindrome (15651).

The spelling of 63079344 in words is "sixty-three million, seventy-nine thousand, three hundred forty-four".