680037120 has 360 divisors, whose sum is σ = 2783878944. Its totient is φ = 155271168.

The previous prime is 680037119. The next prime is 680037139. The reversal of 680037120 is 21730086.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725292 + ... + 726228.

Almost surely, 2^680037120 is an apocalyptic number.

680037120 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 680037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391939472).

680037120 is an abundant number, since it is smaller than the sum of its proper divisors (2103841824).

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

680037120 is an equidigital number, since it uses as much as digits as its factorization.

680037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 680037120 is about 26077.5213546073. The cubic root of 680037120 is about 879.3819351520.

The spelling of 680037120 in words is "six hundred eighty million, thirty-seven thousand, one hundred twenty".