679242240 has 320 divisors, whose sum is σ = 2498411520. Its totient is φ = 174735360.

The previous prime is 679242211. The next prime is 679242281. The reversal of 679242240 is 42242976.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×679242240² = 922740041200435200, which contains 22 as substring.

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 = 679242195 and 679242204.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2142562 + ... + 2142878.

It is an arithmetic number, because the mean of its divisors is an integer number (7807536).

Almost surely, 2^679242240 is an apocalyptic number.

679242240 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 679242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249205760).

679242240 is an abundant number, since it is smaller than the sum of its proper divisors (1819169280).

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

679242240 is a wasteful number, since it uses less digits than its factorization.

679242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 679242240 is about 26062.2761860893. The cubic root of 679242240 is about 879.0391716868.

The spelling of 679242240 in words is "six hundred seventy-nine million, two hundred forty-two thousand, two hundred forty".