680954040 has 384 divisors, whose sum is σ = 2625255360. Its totient is φ = 157261824.

The previous prime is 680954003. The next prime is 680954083. The reversal of 680954040 is 40459086.

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 = 680953986 and 680954004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2147962 + ... + 2148278.

Almost surely, 2^680954040 is an apocalyptic number.

680954040 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 680954040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312627680).

680954040 is an abundant number, since it is smaller than the sum of its proper divisors (1944301320).

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

680954040 is a wasteful number, since it uses less digits than its factorization.

680954040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 680954040 is about 26095.0960910283. The cubic root of 680954040 is about 879.7769923888.

The spelling of 680954040 in words is "six hundred eighty million, nine hundred fifty-four thousand, forty".