95280864 has 96 divisors (see below), whose sum is σ = 290013696. Its totient is φ = 26826240.

The previous prime is 95280859. The next prime is 95280893. The reversal of 95280864 is 46808259.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46714 + ... + 48710.

It is an arithmetic number, because the mean of its divisors is an integer number (3020976).

Almost surely, 2^95280864 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 95280864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145006848).

95280864 is an abundant number, since it is smaller than the sum of its proper divisors (194732832).

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

95280864 is a wasteful number, since it uses less digits than its factorization.

95280864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 95280864 is about 9761.1917305214. The cubic root of 95280864 is about 456.7394895735.

The spelling of 95280864 in words is "ninety-five million, two hundred eighty thousand, eight hundred sixty-four".