973687680 has 768 divisors, whose sum is σ = 4277145600. Its totient is φ = 199065600.

The previous prime is 973687643. The next prime is 973687709. The reversal of 973687680 is 86786379.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23748460 + ... + 23748500.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^973687680 is an apocalyptic number.

973687680 is a gapful number since it is divisible by the number (90) 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 973687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138572800).

973687680 is an abundant number, since it is smaller than the sum of its proper divisors (3303457920).

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

973687680 is a wasteful number, since it uses less digits than its factorization.

973687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 973687680 is about 31203.9689783207. The cubic root of 973687680 is about 991.1511555800.

The spelling of 973687680 in words is "nine hundred seventy-three million, six hundred eighty-seven thousand, six hundred eighty".