972576416 has 48 divisors (see below), whose sum is σ = 2241691200. Its totient is φ = 406648320.

The previous prime is 972576401. The next prime is 972576419. The reversal of 972576416 is 614675279.

972576416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (972576419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43766 + ... + 62133.

It is an arithmetic number, because the mean of its divisors is an integer number (46701900).

Almost surely, 2^972576416 is an apocalyptic number.

It is an amenable number.

972576416 is an abundant number, since it is smaller than the sum of its proper divisors (1269114784).

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

972576416 is a wasteful number, since it uses less digits than its factorization.

972576416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105957 (or 105949 counting only the distinct ones).

The product of its digits is 635040, while the sum is 47.

The square root of 972576416 is about 31186.1574420447. The cubic root of 972576416 is about 990.7739470544.

The spelling of 972576416 in words is "nine hundred seventy-two million, five hundred seventy-six thousand, four hundred sixteen".