973660380 has 576 divisors, whose sum is σ = 3861043200. Its totient is φ = 182138880.

The previous prime is 973660379. The next prime is 973660393. The reversal of 973660380 is 83066379.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 42333049 + ... + 42333071.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2^973660380 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 973660380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930521600).

973660380 is an abundant number, since it is smaller than the sum of its proper divisors (2887382820).

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

973660380 is a wasteful number, since it uses less digits than its factorization.

973660380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 973660380 is about 31203.5315309021. The cubic root of 973660380 is about 991.1418922813.

The spelling of 973660380 in words is "nine hundred seventy-three million, six hundred sixty thousand, three hundred eighty".