973708560 has 320 divisors, whose sum is σ = 3702620160. Its totient is φ = 233233920.

The previous prime is 973708559. The next prime is 973708573. The reversal of 973708560 is 65807379.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2542129 + ... + 2542511.

It is an arithmetic number, because the mean of its divisors is an integer number (11570688).

Almost surely, 2^973708560 is an apocalyptic number.

973708560 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 973708560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851310080).

973708560 is an abundant number, since it is smaller than the sum of its proper divisors (2728911600).

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

973708560 is a wasteful number, since it uses less digits than its factorization.

973708560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 973708560 is about 31204.3035493504. The cubic root of 973708560 is about 991.1582403597.

The spelling of 973708560 in words is "nine hundred seventy-three million, seven hundred eight thousand, five hundred sixty".