96871280 has 160 divisors (see below), whose sum is σ = 262268928. Its totient is φ = 32947200.

The previous prime is 96871259. The next prime is 96871283. The reversal of 96871280 is 8217869.

It is a super-5 number, since 5×96871280⁵ (a number of 41 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96871283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445807 + ... + 1445873.

Almost surely, 2^96871280 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 96871280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131134464).

96871280 is an abundant number, since it is smaller than the sum of its proper divisors (165397648).

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

96871280 is a wasteful number, since it uses less digits than its factorization.

96871280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 96871280 is about 9842.3208645116. The cubic root of 96871280 is about 459.2667587385.

The spelling of 96871280 in words is "ninety-six million, eight hundred seventy-one thousand, two hundred eighty".