972853840 has 60 divisors (see below), whose sum is σ = 2631183156. Its totient is φ = 333548544.

The previous prime is 972853829. The next prime is 972853841. The reversal of 972853840 is 48358279.

972853840 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 2 ways, for example, as 312158224 + 660695616 = 17668^2 + 25704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972853841) 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, 120169 + ... + 128008.

Almost surely, 2^972853840 is an apocalyptic number.

It is an amenable number.

972853840 is an abundant number, since it is smaller than the sum of its proper divisors (1658329316).

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

972853840 is a wasteful number, since it uses less digits than its factorization.

972853840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248204 (or 248191 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 972853840 is about 31190.6049957355. The cubic root of 972853840 is about 990.8681430259.

The spelling of 972853840 in words is "nine hundred seventy-two million, eight hundred fifty-three thousand, eight hundred forty".