972011040 has 864 divisors, whose sum is σ = 4445025984. Its totient is φ = 175472640.

The previous prime is 972011011. The next prime is 972011041. The reversal of 972011040 is 40110279.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 972011040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972011041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57177112 + ... + 57177128.

It is an arithmetic number, because the mean of its divisors is an integer number (5144706).

Almost surely, 2^972011040 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 972011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222512992).

972011040 is an abundant number, since it is smaller than the sum of its proper divisors (3473014944).

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

972011040 is a wasteful number, since it uses less digits than its factorization.

972011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 972011040 is about 31177.0915898196. The cubic root of 972011040 is about 990.5819249913.

The spelling of 972011040 in words is "nine hundred seventy-two million, eleven thousand, forty".