1007097960 has 128 divisors (see below), whose sum is σ = 3320611200. Its totient is φ = 242319360.

The previous prime is 1007097953. The next prime is 1007097977. The reversal of 1007097960 is 697907001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178056 + ... + 183624.

It is an arithmetic number, because the mean of its divisors is an integer number (25942275).

Almost surely, 2^1007097960 is an apocalyptic number.

1007097960 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 1007097960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660305600).

1007097960 is an abundant number, since it is smaller than the sum of its proper divisors (2313513240).

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

1007097960 is a wasteful number, since it uses less digits than its factorization.

1007097960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 1007097960 is about 31734.8067585104. The cubic root of 1007097960 is about 1002.3604107441.

The spelling of 1007097960 in words is "one billion, seven million, ninety-seven thousand, nine hundred sixty".