972842624 has 64 divisors (see below), whose sum is σ = 2110941000. Its totient is φ = 443891712.

The previous prime is 972842599. The next prime is 972842659. The reversal of 972842624 is 426248279.

972842624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 730729024 + 242113600 = 27032^2 + 15560^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144812 + ... + 151380.

Almost surely, 2^972842624 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 972842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055470500).

972842624 is an abundant number, since it is smaller than the sum of its proper divisors (1138098376).

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

972842624 is a wasteful number, since it uses less digits than its factorization.

972842624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685 (or 6673 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 972842624 is about 31190.4251974865. The cubic root of 972842624 is about 990.8643351158.

The spelling of 972842624 in words is "nine hundred seventy-two million, eight hundred forty-two thousand, six hundred twenty-four".