95086080 has 120 divisors (see below), whose sum is σ = 329389632. Its totient is φ = 25350144.

The previous prime is 95086063. The next prime is 95086109. The reversal of 95086080 is 8068059.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20977 + ... + 25103.

Almost surely, 2^95086080 is an apocalyptic number.

95086080 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 95086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164694816).

95086080 is an abundant number, since it is smaller than the sum of its proper divisors (234303552).

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

95086080 is a wasteful number, since it uses less digits than its factorization.

95086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 95086080 is about 9751.2091557919. The cubic root of 95086080 is about 456.4280376042.

The spelling of 95086080 in words is "ninety-five million, eighty-six thousand, eighty".