96885360 has 240 divisors, whose sum is σ = 382663008. Its totient is φ = 21657600.

The previous prime is 96885359. The next prime is 96885367. The reversal of 96885360 is 6358869.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96885367) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 102490 + ... + 103430.

Almost surely, 2^96885360 is an apocalyptic number.

96885360 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 96885360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191331504).

96885360 is an abundant number, since it is smaller than the sum of its proper divisors (285777648).

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

96885360 is a wasteful number, since it uses less digits than its factorization.

96885360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 96885360 is about 9843.0361169712. The cubic root of 96885360 is about 459.2890087549.

The spelling of 96885360 in words is "ninety-six million, eight hundred eighty-five thousand, three hundred sixty".