96180 has 48 divisors (see below), whose sum is σ = 309120. Its totient is φ = 21888.

The previous prime is 96179. The next prime is 96181. The reversal of 96180 is 8169.

It is an interprime number because it is at equal distance from previous prime (96179) and next prime (96181).

It is a self number, because there is not a number n which added to its sum of digits gives 96180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (6440).

2⁹⁶¹⁸⁰ 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 96180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154560).

96180 is an abundant number, since it is smaller than the sum of its proper divisors (212940).

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

96180 is a wasteful number, since it uses less digits than its factorization.

96180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 96180 is about 310.1290054155. The cubic root of 96180 is about 45.8171696906.

It can be divided in two parts, 96 and 180, that added together give a triangular number (276 = T₂₃).

The spelling of 96180 in words is "ninety-six thousand, one hundred eighty".