972065664 has 128 divisors (see below), whose sum is σ = 2908999200. Its totient is φ = 319500288.

The previous prime is 972065641. The next prime is 972065723. The reversal of 972065664 is 466560279.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250362 + ... + 254214.

Almost surely, 2^972065664 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 972065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454499600).

972065664 is an abundant number, since it is smaller than the sum of its proper divisors (1936933536).

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

972065664 is a wasteful number, since it uses less digits than its factorization.

972065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 972065664 is about 31177.9676053459. The cubic root of 972065664 is about 990.6004805191.

The spelling of 972065664 in words is "nine hundred seventy-two million, sixty-five thousand, six hundred sixty-four".