95416200 has 288 divisors, whose sum is σ = 359798400. Its totient is φ = 22464000.

The previous prime is 95416199. The next prime is 95416201. The reversal of 95416200 is 261459.

It is an interprime number because it is at equal distance from previous prime (95416199) and next prime (95416201).

It is not an unprimeable number, because it can be changed into a prime (95416201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1207761 + ... + 1207839.

It is an arithmetic number, because the mean of its divisors is an integer number (1249300).

Almost surely, 2^95416200 is an apocalyptic number.

95416200 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 95416200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179899200).

95416200 is an abundant number, since it is smaller than the sum of its proper divisors (264382200).

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

95416200 is a wasteful number, since it uses less digits than its factorization.

95416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

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

The square root of 95416200 is about 9768.1216208645. The cubic root of 95416200 is about 456.9556366910.

Adding to 95416200 its reverse (261459), we get a palindrome (95677659).

The spelling of 95416200 in words is "ninety-five million, four hundred sixteen thousand, two hundred".