972621648 has 80 divisors (see below), whose sum is σ = 2796100800. Its totient is φ = 323706240.

The previous prime is 972621599. The next prime is 972621649. The reversal of 972621648 is 846126279.

It is a happy number.

972621648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972621649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369778 + ... + 372398.

It is an arithmetic number, because the mean of its divisors is an integer number (34951260).

Almost surely, 2^972621648 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 972621648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398050400).

972621648 is an abundant number, since it is smaller than the sum of its proper divisors (1823479152).

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

972621648 is a wasteful number, since it uses less digits than its factorization.

972621648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3485 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 972621648 is about 31186.8826271559. The cubic root of 972621648 is about 990.7893062563.

The spelling of 972621648 in words is "nine hundred seventy-two million, six hundred twenty-one thousand, six hundred forty-eight".