972840960 has 672 divisors, whose sum is σ = 4293656640. Its totient is φ = 198180864.

The previous prime is 972840943. The next prime is 972840971. The reversal of 972840960 is 69048279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33546226 + ... + 33546254.

It is an arithmetic number, because the mean of its divisors is an integer number (6389370).

Almost surely, 2^972840960 is an apocalyptic number.

972840960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146828320).

972840960 is an abundant number, since it is smaller than the sum of its proper divisors (3320815680).

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

972840960 is a wasteful number, since it uses less digits than its factorization.

972840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 972840960 is about 31190.3985226223. The cubic root of 972840960 is about 990.8637701737.

The spelling of 972840960 in words is "nine hundred seventy-two million, eight hundred forty thousand, nine hundred sixty".