972687744 has 256 divisors, whose sum is σ = 3389337600. Its totient is φ = 268738560.

The previous prime is 972687743. The next prime is 972687787. The reversal of 972687744 is 447786279.

It is a super-2 number, since 2×972687744² = 1892242894655619072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972687743) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 749304 + ... + 750600.

It is an arithmetic number, because the mean of its divisors is an integer number (13239600).

Almost surely, 2^972687744 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 972687744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694668800).

972687744 is an abundant number, since it is smaller than the sum of its proper divisors (2416649856).

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

972687744 is a wasteful number, since it uses less digits than its factorization.

972687744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1340 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 972687744 is about 31187.9422854410. The cubic root of 972687744 is about 990.8117492849.

The spelling of 972687744 in words is "nine hundred seventy-two million, six hundred eighty-seven thousand, seven hundred forty-four".