96921280 has 84 divisors (see below), whose sum is σ = 243870480. Its totient is φ = 36684288.

The previous prime is 96921257. The next prime is 96921311. The reversal of 96921280 is 8212969.

96921280 = 23² + 24² + ... + 662².

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 115101 + ... + 115939.

It is an arithmetic number, because the mean of its divisors is an integer number (2903220).

Almost surely, 2^96921280 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 96921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121935240).

96921280 is an abundant number, since it is smaller than the sum of its proper divisors (146949200).

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

96921280 is a wasteful number, since it uses less digits than its factorization.

96921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 96921280 is about 9844.8605881445. The cubic root of 96921280 is about 459.3457618178.

The spelling of 96921280 in words is "ninety-six million, nine hundred twenty-one thousand, two hundred eighty".