679071120 has 640 divisors, whose sum is σ = 2879815680. Its totient is φ = 128286720.

The previous prime is 679071091. The next prime is 679071131. The reversal of 679071120 is 21170976.

It is a super-2 number, since 2×679071120² = 922275172036108800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11509651 + ... + 11509709.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2^679071120 is an apocalyptic number.

679071120 is a gapful number since it is divisible by the number (60) 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 679071120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439907840).

679071120 is an abundant number, since it is smaller than the sum of its proper divisors (2200744560).

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

679071120 is a wasteful number, since it uses less digits than its factorization.

679071120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 679071120 is about 26058.9930734094. The cubic root of 679071120 is about 878.9653473534.

The spelling of 679071120 in words is "six hundred seventy-nine million, seventy-one thousand, one hundred twenty".