96971280 has 160 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 21977088.

The previous prime is 96971267. The next prime is 96971297. The reversal of 96971280 is 8217969.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330814 + ... + 331106.

Almost surely, 2^96971280 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 96971280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

96971280 is an abundant number, since it is smaller than the sum of its proper divisors (249506544).

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

96971280 is a wasteful number, since it uses less digits than its factorization.

96971280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 96971280 is about 9847.3996567622. The cubic root of 96971280 is about 459.4247377309.

The spelling of 96971280 in words is "ninety-six million, nine hundred seventy-one thousand, two hundred eighty".