96084180 has 36 divisors (see below), whose sum is σ = 291455892. Its totient is φ = 25622400.

The previous prime is 96084151. The next prime is 96084199. The reversal of 96084180 is 8148069.

It is a happy number.

96084180 is a `hidden beast` number, since 9 + 608 + 41 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21123216 + 74960964 = 4596^2 + 8658^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266721 + ... + 267080.

It is an arithmetic number, because the mean of its divisors is an integer number (8095997).

Almost surely, 2^96084180 is an apocalyptic number.

96084180 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96084180 is an abundant number, since it is smaller than the sum of its proper divisors (195371712).

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

96084180 is a wasteful number, since it uses less digits than its factorization.

96084180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533816 (or 533811 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 96084180 is about 9802.2538224635. The cubic root of 96084180 is about 458.0194940947.

The spelling of 96084180 in words is "ninety-six million, eighty-four thousand, one hundred eighty".