96972960 has 384 divisors, whose sum is σ = 387072000. Its totient is φ = 20321280.

The previous prime is 96972959. The next prime is 96972961. The reversal of 96972960 is 6927969.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96972959) and next prime (96972961).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (96972961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3128145 + ... + 3128175.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000).

Almost surely, 2^96972960 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 96972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

96972960 is an abundant number, since it is smaller than the sum of its proper divisors (290099040).

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

96972960 is a wasteful number, since it uses less digits than its factorization.

96972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 96972960 is about 9847.4849580997. The cubic root of 96972960 is about 459.4273908501.

The spelling of 96972960 in words is "ninety-six million, nine hundred seventy-two thousand, nine hundred sixty".