95053200 has 240 divisors, whose sum is σ = 350572800. Its totient is φ = 21772800.

The previous prime is 95053193. The next prime is 95053201. The reversal of 95053200 is 235059.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×95053200² = 18070221660480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (95053201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250611 + ... + 250989.

It is an arithmetic number, because the mean of its divisors is an integer number (1460720).

Almost surely, 2^95053200 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 95053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175286400).

95053200 is an abundant number, since it is smaller than the sum of its proper divisors (255519600).

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

95053200 is a wasteful number, since it uses less digits than its factorization.

95053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 95053200 is about 9749.5230652581. The cubic root of 95053200 is about 456.3754218270.

Adding to 95053200 its reverse (235059), we get a palindrome (95288259).

The spelling of 95053200 in words is "ninety-five million, fifty-three thousand, two hundred".