973398720 has 168 divisors, whose sum is σ = 3595292784. Its totient is φ = 222480384.

The previous prime is 973398707. The next prime is 973398721. The reversal of 973398720 is 27893379.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 973398720.

It is not an unprimeable number, because it can be changed into a prime (973398721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36694 + ... + 57386.

Almost surely, 2^973398720 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 973398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797646392).

973398720 is an abundant number, since it is smaller than the sum of its proper divisors (2621894064).

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

973398720 is a wasteful number, since it uses less digits than its factorization.

973398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20727 (or 20710 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 973398720 is about 31199.3384545250. The cubic root of 973398720 is about 991.0530983417.

The spelling of 973398720 in words is "nine hundred seventy-three million, three hundred ninety-eight thousand, seven hundred twenty".