95705600 has 60 divisors (see below), whose sum is σ = 237149814. Its totient is φ = 38277120.

The previous prime is 95705593. The next prime is 95705609. The reversal of 95705600 is 650759.

It can be written as a sum of positive squares in 3 ways, for example, as 90022144 + 5683456 = 9488^2 + 2384^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (95705609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9062 + ... + 16538.

Almost surely, 2^95705600 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 95705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118574907).

95705600 is an abundant number, since it is smaller than the sum of its proper divisors (141444214).

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

95705600 is an equidigital number, since it uses as much as digits as its factorization.

95705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 95705600 is about 9782.9238983036. The cubic root of 95705600 is about 457.4171568075.

The spelling of 95705600 in words is "ninety-five million, seven hundred five thousand, six hundred".