95880 has 64 divisors (see below), whose sum is σ = 311040. Its totient is φ = 23552.

The previous prime is 95873. The next prime is 95881. The reversal of 95880 is 8859.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95880.

It is not an unprimeable number, because it can be changed into a prime (95881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2017 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁹⁵⁸⁸⁰ 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 95880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

95880 is an abundant number, since it is smaller than the sum of its proper divisors (215160).

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

95880 is a wasteful number, since it uses less digits than its factorization.

95880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 95880 is about 309.6449579761. The cubic root of 95880 is about 45.7694831765.

The spelling of 95880 in words is "ninety-five thousand, eight hundred eighty".