974580720 has 80 divisors (see below), whose sum is σ = 3085516800. Its totient is φ = 254355712.

The previous prime is 974580707. The next prime is 974580731. The reversal of 974580720 is 27085479.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31920 + ... + 54479.

It is an arithmetic number, because the mean of its divisors is an integer number (38568960).

Almost surely, 2^974580720 is an apocalyptic number.

It is an amenable number.

974580720 is an abundant number, since it is smaller than the sum of its proper divisors (2110936080).

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

974580720 is a wasteful number, since it uses less digits than its factorization.

974580720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86462 (or 86456 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 974580720 is about 31218.2754168131. The cubic root of 974580720 is about 991.4540819960.

It can be divided in two parts, 9 and 74580720, that multiplied together give a triangular number (671226480 = T₃₆₆₃₉).

The spelling of 974580720 in words is "nine hundred seventy-four million, five hundred eighty thousand, seven hundred twenty".