972332064 has 144 divisors (see below), whose sum is σ = 3073883904. Its totient is φ = 289036800.

The previous prime is 972332047. The next prime is 972332069. The reversal of 972332064 is 460233279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (972332069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165009 + ... + 170799.

It is an arithmetic number, because the mean of its divisors is an integer number (21346416).

Almost surely, 2^972332064 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 972332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536941952).

972332064 is an abundant number, since it is smaller than the sum of its proper divisors (2101551840).

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

972332064 is a wasteful number, since it uses less digits than its factorization.

972332064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 972332064 is about 31182.2395603651. The cubic root of 972332064 is about 990.6909654434.

The spelling of 972332064 in words is "nine hundred seventy-two million, three hundred thirty-two thousand, sixty-four".