972908208 has 60 divisors (see below), whose sum is σ = 2732733328. Its totient is φ = 323118720.

The previous prime is 972908207. The next prime is 972908221. The reversal of 972908208 is 802809279.

It is not an unprimeable number, because it can be changed into a prime (972908207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27693 + ... + 52083.

Almost surely, 2^972908208 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 972908208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366366664).

972908208 is an abundant number, since it is smaller than the sum of its proper divisors (1759825120).

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

972908208 is a wasteful number, since it uses less digits than its factorization.

972908208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24682 (or 24673 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 972908208 is about 31191.4765280517. The cubic root of 972908208 is about 990.8866009255.

The spelling of 972908208 in words is "nine hundred seventy-two million, nine hundred eight thousand, two hundred eight".