1070868960 has 576 divisors, whose sum is σ = 4528742400. Its totient is φ = 225054720.

The previous prime is 1070868917. The next prime is 1070868971. The reversal of 1070868960 is 698680701.

It is a happy number.

It is a super-2 number, since 2×1070868960² = 2293520658982963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7186966 + ... + 7187114.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^1070868960 is an apocalyptic number.

1070868960 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 1070868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1070868960 is an abundant number, since it is smaller than the sum of its proper divisors (3457873440).

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

1070868960 is a wasteful number, since it uses less digits than its factorization.

1070868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1070868960 is about 32724.1342131461. The cubic root of 1070868960 is about 1023.0859254228.

The spelling of 1070868960 in words is "one billion, seventy million, eight hundred sixty-eight thousand, nine hundred sixty".