980624160 has 72 divisors (see below), whose sum is σ = 3346384860. Its totient is φ = 261499392.

The previous prime is 980624129. The next prime is 980624171. The reversal of 980624160 is 61426089.

It can be written as a sum of positive squares in 2 ways, for example, as 845413776 + 135210384 = 29076^2 + 11628^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339055 + ... + 341934.

Almost surely, 2^980624160 is an apocalyptic number.

980624160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

980624160 is an abundant number, since it is smaller than the sum of its proper divisors (2365760700).

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

980624160 is a wasteful number, since it uses less digits than its factorization.

980624160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681010 (or 680999 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 980624160 is about 31314.9191281089. The cubic root of 980624160 is about 993.4992180757.

The spelling of 980624160 in words is "nine hundred eighty million, six hundred twenty-four thousand, one hundred sixty".