95600 has 30 divisors (see below), whose sum is σ = 230640. Its totient is φ = 38080.

The previous prime is 95597. The next prime is 95603. The reversal of 95600 is 659.

It is an interprime number because it is at equal distance from previous prime (95597) and next prime (95603).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95603) 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, 281 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (7688).

2⁹⁵⁶⁰⁰ 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 95600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115320).

95600 is an abundant number, since it is smaller than the sum of its proper divisors (135040).

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

95600 is a wasteful number, since it uses less digits than its factorization.

95600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 95600 is about 309.1924966748. The cubic root of 95600 is about 45.7248859347.

The spelling of 95600 in words is "ninety-five thousand, six hundred".