1070456960 has 128 divisors (see below), whose sum is σ = 2752531200. Its totient is φ = 396804096.

The previous prime is 1070456957. The next prime is 1070456963. The reversal of 1070456960 is 696540701.

1070456960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1070456957) and next prime (1070456963).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1070456960² = 2291756206424883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (1070456963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570584 + ... + 572456.

It is an arithmetic number, because the mean of its divisors is an integer number (21504150).

Almost surely, 2^1070456960 is an apocalyptic number.

1070456960 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 1070456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376265600).

1070456960 is an abundant number, since it is smaller than the sum of its proper divisors (1682074240).

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

1070456960 is a wasteful number, since it uses less digits than its factorization.

1070456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 1070456960 is about 32717.8385594159. The cubic root of 1070456960 is about 1022.9547031833.

The spelling of 1070456960 in words is "one billion, seventy million, four hundred fifty-six thousand, nine hundred sixty".