95806512 has 120 divisors (see below), whose sum is σ = 285936560. Its totient is φ = 29942784.

The previous prime is 95806511. The next prime is 95806561. The reversal of 95806512 is 21560859.

It is a happy number.

95806512 is a `hidden beast` number, since 9 + 580 + 65 + 12 = 666.

It is a super-2 number, since 2×95806512² = 18357775483212288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (95806511) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 987648 + ... + 987744.

Almost surely, 2^95806512 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 95806512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142968280).

95806512 is an abundant number, since it is smaller than the sum of its proper divisors (190130048).

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

95806512 is a wasteful number, since it uses less digits than its factorization.

95806512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 95806512 is about 9788.0800977516. The cubic root of 95806512 is about 457.5778672442.

The spelling of 95806512 in words is "ninety-five million, eight hundred six thousand, five hundred twelve".