972795096 has 384 divisors, whose sum is σ = 3457382400. Its totient is φ = 251102592.

The previous prime is 972795067. The next prime is 972795113. The reversal of 972795096 is 690597279.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20697745 + ... + 20697791.

It is an arithmetic number, because the mean of its divisors is an integer number (9003600).

Almost surely, 2^972795096 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 972795096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728691200).

972795096 is an abundant number, since it is smaller than the sum of its proper divisors (2484587304).

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

972795096 is a wasteful number, since it uses less digits than its factorization.

972795096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 972795096 is about 31189.6632876984. The cubic root of 972795096 is about 990.8481987042.

The spelling of 972795096 in words is "nine hundred seventy-two million, seven hundred ninety-five thousand, ninety-six".