973998624 has 96 divisors (see below), whose sum is σ = 2640496320. Its totient is φ = 314163200.

The previous prime is 973998617. The next prime is 973998643. The reversal of 973998624 is 426899379.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514672 + ... + 516560.

It is an arithmetic number, because the mean of its divisors is an integer number (27505170).

Almost surely, 2^973998624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973998624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320248160).

973998624 is an abundant number, since it is smaller than the sum of its proper divisors (1666497696).

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

973998624 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (973998623) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2066).

973998624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2066 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The square root of 973998624 is about 31208.9510237047. The cubic root of 973998624 is about 991.2566513189.

The spelling of 973998624 in words is "nine hundred seventy-three million, nine hundred ninety-eight thousand, six hundred twenty-four".