1007680656 has 40 divisors (see below), whose sum is σ = 2740186720. Its totient is φ = 318214656.

The previous prime is 1007680649. The next prime is 1007680697. The reversal of 1007680656 is 6560867001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551545 + ... + 553368.

It is an arithmetic number, because the mean of its divisors is an integer number (68504668).

Almost surely, 2^1007680656 is an apocalyptic number.

1007680656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007680656 is an abundant number, since it is smaller than the sum of its proper divisors (1732506064).

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

1007680656 is a wasteful number, since it uses less digits than its factorization.

1007680656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104943 (or 1104937 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1007680656 is about 31743.9861391099. The cubic root of 1007680656 is about 1002.5536917738.

The spelling of 1007680656 in words is "one billion, seven million, six hundred eighty thousand, six hundred fifty-six".