970280160784 has 135 divisors (see below), whose sum is σ = 2106525761613. Its totient is φ = 432624297600.

The previous prime is 970280160763. The next prime is 970280160803. The reversal of 970280160784 is 487061082079.

The square root of 970280160784 is 985028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31551706384 + 938728454400 = 177628^2 + 968880^2 .

It is a super-2 number, since 2×970280160784² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2643814969 + ... + 2643815335.

Almost surely, 2^970280160784 is an apocalyptic number.

970280160784 is the 985028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970280160784

970280160784 is an abundant number, since it is smaller than the sum of its proper divisors (1136245600829).

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

970280160784 is an equidigital number, since it uses as much as digits as its factorization.

970280160784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 970280160784 in words is "nine hundred seventy billion, two hundred eighty million, one hundred sixty thousand, seven hundred eighty-four".