1007376960 has 112 divisors (see below), whose sum is σ = 3366820800. Its totient is φ = 254490624.

The previous prime is 1007376949. The next prime is 1007376971. The reversal of 1007376960 is 696737001.

It is an interprime number because it is at equal distance from previous prime (1007376949) and next prime (1007376971).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9375 + ... + 45854.

It is an arithmetic number, because the mean of its divisors is an integer number (30060900).

Almost surely, 2^1007376960 is an apocalyptic number.

1007376960 is a gapful number since it is divisible by the number (10) 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 1007376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683410400).

1007376960 is an abundant number, since it is smaller than the sum of its proper divisors (2359443840).

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

1007376960 is a wasteful number, since it uses less digits than its factorization.

1007376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55268 (or 55258 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 1007376960 is about 31739.2022584059. The cubic root of 1007376960 is about 1002.4529647109.

The spelling of 1007376960 in words is "one billion, seven million, three hundred seventy-six thousand, nine hundred sixty".