95890080 has 288 divisors, whose sum is σ = 360364032. Its totient is φ = 21288960.

The previous prime is 95890079. The next prime is 95890097. The reversal of 95890080 is 8009859.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754977 + ... + 755103.

It is an arithmetic number, because the mean of its divisors is an integer number (1251264).

Almost surely, 2^95890080 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 95890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180182016).

95890080 is an abundant number, since it is smaller than the sum of its proper divisors (264473952).

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

95890080 is a wasteful number, since it uses less digits than its factorization.

95890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 95890080 is about 9792.3480330307. The cubic root of 95890080 is about 457.7108705712.

The spelling of 95890080 in words is "ninety-five million, eight hundred ninety thousand, eighty".