1007057680 has 40 divisors (see below), whose sum is σ = 2350099584. Its totient is φ = 401328000.

The previous prime is 1007057669. The next prime is 1007057707. The reversal of 1007057680 is 867507001.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1546 + ... + 44905.

Almost surely, 2^1007057680 is an apocalyptic number.

1007057680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007057680 is an abundant number, since it is smaller than the sum of its proper divisors (1343041904).

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

1007057680 is a wasteful number, since it uses less digits than its factorization.

1007057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46735 (or 46729 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 1007057680 is about 31734.1721177660. The cubic root of 1007057680 is about 1002.3470470604.

The spelling of 1007057680 in words is "one billion, seven million, fifty-seven thousand, six hundred eighty".