680898960 has 400 divisors, whose sum is σ = 2864923776. Its totient is φ = 146313216.

The previous prime is 680898949. The next prime is 680898961. The reversal of 680898960 is 69898086.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 680898897 and 680898906.

It is not an unprimeable number, because it can be changed into a prime (680898961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 770679 + ... + 771561.

Almost surely, 2^680898960 is an apocalyptic number.

680898960 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 680898960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432461888).

680898960 is an abundant number, since it is smaller than the sum of its proper divisors (2184024816).

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

680898960 is a wasteful number, since it uses less digits than its factorization.

680898960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 680898960 is about 26094.0406989795. The cubic root of 680898960 is about 879.7532710505.

The spelling of 680898960 in words is "six hundred eighty million, eight hundred ninety-eight thousand, nine hundred sixty".