679281920 has 288 divisors, whose sum is σ = 1907297280. Its totient is φ = 230031360.

The previous prime is 679281919. The next prime is 679281943. The reversal of 679281920 is 29182976.

It is a happy number.

It is a super-2 number, since 2×679281920² = 922847853677772800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12816614 + ... + 12816666.

It is an arithmetic number, because the mean of its divisors is an integer number (6622560).

Almost surely, 2^679281920 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 679281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953648640).

679281920 is an abundant number, since it is smaller than the sum of its proper divisors (1228015360).

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

679281920 is a wasteful number, since it uses less digits than its factorization.

679281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 679281920 is about 26063.0374285117. The cubic root of 679281920 is about 879.0562886018.

The spelling of 679281920 in words is "six hundred seventy-nine million, two hundred eighty-one thousand, nine hundred twenty".