679520512 has 54 divisors (see below), whose sum is σ = 1490972294. Its totient is φ = 308858880.

The previous prime is 679520507. The next prime is 679520519. The reversal of 679520512 is 215025976.

It can be written as a sum of positive squares in only one way, i.e., 476286976 + 203233536 = 21824^2 + 14256^2 .

It is not an unprimeable number, because it can be changed into a prime (679520519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20008 + ... + 41944.

Almost surely, 2^679520512 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 679520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745486147).

679520512 is an abundant number, since it is smaller than the sum of its proper divisors (811451782).

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

679520512 is a wasteful number, since it uses less digits than its factorization.

679520512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21975 (or 21950 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 679520512 is about 26067.6142368265. The cubic root of 679520512 is about 879.1591969038.

The spelling of 679520512 in words is "six hundred seventy-nine million, five hundred twenty thousand, five hundred twelve".