973666080 has 144 divisors (see below), whose sum is σ = 3335996664. Its totient is φ = 258600960.

The previous prime is 973666069. The next prime is 973666091. The reversal of 973666080 is 80666379.

It is an interprime number because it is at equal distance from previous prime (973666069) and next prime (973666091).

It can be written as a sum of positive squares in 4 ways, for example, as 398241936 + 575424144 = 19956^2 + 23988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397660 + ... + 400100.

Almost surely, 2^973666080 is an apocalyptic number.

973666080 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 973666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667998332).

973666080 is an abundant number, since it is smaller than the sum of its proper divisors (2362330584).

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

973666080 is a wasteful number, since it uses less digits than its factorization.

973666080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 973666080 is about 31203.6228665839. The cubic root of 973666080 is about 991.1438263909.

The spelling of 973666080 in words is "nine hundred seventy-three million, six hundred sixty-six thousand, eighty".