96217200 has 240 divisors, whose sum is σ = 350572800. Its totient is φ = 25056000.

The previous prime is 96217189. The next prime is 96217213. The reversal of 96217200 is 271269.

96217200 is nontrivially palindromic in base 7.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637125 + ... + 637275.

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

Almost surely, 2^96217200 is an apocalyptic number.

96217200 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 96217200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175286400).

96217200 is an abundant number, since it is smaller than the sum of its proper divisors (254355600).

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

96217200 is a wasteful number, since it uses less digits than its factorization.

96217200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 96217200 is about 9809.0366499468. The cubic root of 96217200 is about 458.2307590476.

Adding to 96217200 its reverse (271269), we get a palindrome (96488469).

The spelling of 96217200 in words is "ninety-six million, two hundred seventeen thousand, two hundred".