972661760 has 132 divisors (see below), whose sum is σ = 2714886972. Its totient is φ = 333398016.

The previous prime is 972661747. The next prime is 972661771. The reversal of 972661760 is 67166279.

It can be written as a sum of positive squares in 2 ways, for example, as 297493504 + 675168256 = 17248^2 + 25984^2 .

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 11 ways as a sum of consecutive naturals, for example, 248942 + ... + 252818.

Almost surely, 2^972661760 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 972661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357443486).

972661760 is an abundant number, since it is smaller than the sum of its proper divisors (1742225212).

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

972661760 is a wasteful number, since it uses less digits than its factorization.

972661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The square root of 972661760 is about 31187.5257114122. The cubic root of 972661760 is about 990.8029264872.

The spelling of 972661760 in words is "nine hundred seventy-two million, six hundred sixty-one thousand, seven hundred sixty".