95266080 has 288 divisors, whose sum is σ = 400667904. Its totient is φ = 20072448.

The previous prime is 95266063. The next prime is 95266159. The reversal of 95266080 is 8066259.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130677 + ... + 131403.

It is an arithmetic number, because the mean of its divisors is an integer number (1391208).

Almost surely, 2^95266080 is an apocalyptic number.

95266080 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 95266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200333952).

95266080 is an abundant number, since it is smaller than the sum of its proper divisors (305401824).

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

95266080 is a wasteful number, since it uses less digits than its factorization.

95266080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 95266080 is about 9760.4344165616. The cubic root of 95266080 is about 456.7158654319.

The spelling of 95266080 in words is "ninety-five million, two hundred sixty-six thousand, eighty".