1012008960 has 288 divisors, whose sum is σ = 3577392000. Its totient is φ = 264536064.

The previous prime is 1012008931. The next prime is 1012008973. The reversal of 1012008960 is 698002101.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7280571 + ... + 7280709.

It is an arithmetic number, because the mean of its divisors is an integer number (12421500).

Almost surely, 2^1012008960 is an apocalyptic number.

1012008960 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 1012008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788696000).

1012008960 is an abundant number, since it is smaller than the sum of its proper divisors (2565383040).

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

1012008960 is a wasteful number, since it uses less digits than its factorization.

1012008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1012008960 is about 31812.0882684554. The cubic root of 1012008960 is about 1003.9870688218.

The spelling of 1012008960 in words is "one billion, twelve million, eight thousand, nine hundred sixty".