680279040 has 704 divisors, whose sum is σ = 2986982400. Its totient is φ = 143327232.

The previous prime is 680279023. The next prime is 680279063. The reversal of 680279040 is 40972086.

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 = 680278986 and 680279004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18385902 + ... + 18385938.

Almost surely, 2^680279040 is an apocalyptic number.

680279040 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 680279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493491200).

680279040 is an abundant number, since it is smaller than the sum of its proper divisors (2306703360).

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

680279040 is a wasteful number, since it uses less digits than its factorization.

680279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 680279040 is about 26082.1594198026. The cubic root of 680279040 is about 879.4862014483.

The spelling of 680279040 in words is "six hundred eighty million, two hundred seventy-nine thousand, forty".