679613040 has 240 divisors, whose sum is σ = 2377222848. Its totient is φ = 173850624.

The previous prime is 679613009. The next prime is 679613069. The reversal of 679613040 is 40316976.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 679612986 and 679613004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2583949 + ... + 2584211.

Almost surely, 2^679613040 is an apocalyptic number.

679613040 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 679613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188611424).

679613040 is an abundant number, since it is smaller than the sum of its proper divisors (1697609808).

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

679613040 is a wasteful number, since it uses less digits than its factorization.

679613040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 679613040 is about 26069.3889456581. The cubic root of 679613040 is about 879.1990991332.

The spelling of 679613040 in words is "six hundred seventy-nine million, six hundred thirteen thousand, forty".