972667488 has 96 divisors (see below), whose sum is σ = 2755904256. Its totient is φ = 298603008.

The previous prime is 972667483. The next prime is 972667499. The reversal of 972667488 is 884766279.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972667483) 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 15 ways as a sum of consecutive naturals, for example, 1026631 + ... + 1027577.

It is an arithmetic number, because the mean of its divisors is an integer number (28707336).

Almost surely, 2^972667488 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 972667488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377952128).

972667488 is an abundant number, since it is smaller than the sum of its proper divisors (1783236768).

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

972667488 is a wasteful number, since it uses less digits than its factorization.

972667488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1788 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 972667488 is about 31187.6175428647. The cubic root of 972667488 is about 990.8048714278.

The spelling of 972667488 in words is "nine hundred seventy-two million, six hundred sixty-seven thousand, four hundred eighty-eight".