670540680 has 160 divisors (see below), whose sum is σ = 2264031000. Its totient is φ = 177997824.

The previous prime is 670540679. The next prime is 670540693. The reversal of 670540680 is 86045076.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 617920164 + 52620516 = 24858^2 + 7254^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1130464 + ... + 1131056.

Almost surely, 2^670540680 is an apocalyptic number.

670540680 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 670540680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132015500).

670540680 is an abundant number, since it is smaller than the sum of its proper divisors (1593490320).

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

670540680 is a wasteful number, since it uses less digits than its factorization.

670540680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 670540680 is about 25894.8002502433. The cubic root of 670540680 is about 875.2693287916.

The spelling of 670540680 in words is "six hundred seventy million, five hundred forty thousand, six hundred eighty".