96885180 has 288 divisors, whose sum is σ = 368686080. Its totient is φ = 20684160.

The previous prime is 96885127. The next prime is 96885181. The reversal of 96885180 is 8158869.

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 (96885181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1364545 + ... + 1364615.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^96885180 is an apocalyptic number.

96885180 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 96885180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

96885180 is an abundant number, since it is smaller than the sum of its proper divisors (271800900).

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

96885180 is a wasteful number, since it uses less digits than its factorization.

96885180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 96885180 is about 9843.0269734467. The cubic root of 96885180 is about 459.2887243223.

The spelling of 96885180 in words is "ninety-six million, eight hundred eighty-five thousand, one hundred eighty".