95803200 has 126 divisors (see below), whose sum is σ = 340558374. Its totient is φ = 25543680.

The previous prime is 95803193. The next prime is 95803207. The reversal of 95803200 is 230859.

It is an interprime number because it is at equal distance from previous prime (95803193) and next prime (95803207).

It can be written as a sum of positive squares in 3 ways, for example, as 389376 + 95413824 = 624^2 + 9768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95803207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11074 + ... + 17726.

Almost surely, 2^95803200 is an apocalyptic number.

95803200 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 95803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170279187).

95803200 is an abundant number, since it is smaller than the sum of its proper divisors (244755174).

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

95803200 is a wasteful number, since it uses less digits than its factorization.

95803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 95803200 is about 9787.9109109145. The cubic root of 95803200 is about 457.5725944107.

The spelling of 95803200 in words is "ninety-five million, eight hundred three thousand, two hundred".