973820160 has 108 divisors (see below), whose sum is σ = 3369356172. Its totient is φ = 259682304.

The previous prime is 973820153. The next prime is 973820173. The reversal of 973820160 is 61028379.

It can be written as a sum of positive squares in 2 ways, for example, as 219988224 + 753831936 = 14832^2 + 27456^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30747 + ... + 53786.

Almost surely, 2^973820160 is an apocalyptic number.

973820160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

973820160 is an abundant number, since it is smaller than the sum of its proper divisors (2395536012).

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

973820160 is a wasteful number, since it uses less digits than its factorization.

973820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84560 (or 84543 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 973820160 is about 31206.0917129973. The cubic root of 973820160 is about 991.1961055686.

The spelling of 973820160 in words is "nine hundred seventy-three million, eight hundred twenty thousand, one hundred sixty".