679734272 has 264 divisors, whose sum is σ = 1792189440. Its totient is φ = 255467520.

The previous prime is 679734271. The next prime is 679734281. The reversal of 679734272 is 272437976.

It is not an unprimeable number, because it can be changed into a prime (679734271) 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, 21926897 + ... + 21926927.

Almost surely, 2^679734272 is an apocalyptic number.

679734272 is a gapful number since it is divisible by the number (62) 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 679734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896094720).

679734272 is an abundant number, since it is smaller than the sum of its proper divisors (1112455168).

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

679734272 is a wasteful number, since it uses less digits than its factorization.

679734272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its digits is 889056, while the sum is 47.

The square root of 679734272 is about 26071.7140211379. The cubic root of 679734272 is about 879.2513743358.

The spelling of 679734272 in words is "six hundred seventy-nine million, seven hundred thirty-four thousand, two hundred seventy-two".