1020756960 has 72 divisors (see below), whose sum is σ = 3483338040. Its totient is φ = 272201472.

The previous prime is 1020756941. The next prime is 1020756967. The reversal of 1020756960 is 696570201.

1020756960 is a `hidden beast` number, since 10 + 20 + 7 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020756967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352990 + ... + 355869.

It is an arithmetic number, because the mean of its divisors is an integer number (48379695).

Almost surely, 2^1020756960 is an apocalyptic number.

1020756960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020756960 is an abundant number, since it is smaller than the sum of its proper divisors (2462581080).

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

1020756960 is a wasteful number, since it uses less digits than its factorization.

1020756960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708880 (or 708869 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1020756960 is about 31949.2873159950. The cubic root of 1020756960 is about 1006.8716588126.

The spelling of 1020756960 in words is "one billion, twenty million, seven hundred fifty-six thousand, nine hundred sixty".