85615200 has 432 divisors, whose sum is σ = 350977536. Its totient is φ = 19430400.

The previous prime is 85615199. The next prime is 85615217. The reversal of 85615200 is 251658.

85615200 is a `hidden beast` number, since 85 + 61 + 520 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1821577 + ... + 1821623.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^85615200 is an apocalyptic number.

85615200 is a gapful number since it is divisible by the number (80) 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 85615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

85615200 is an abundant number, since it is smaller than the sum of its proper divisors (265362336).

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

85615200 is a wasteful number, since it uses less digits than its factorization.

85615200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 85615200 is about 9252.8482101459. The cubic root of 85615200 is about 440.7411750404.

Adding to 85615200 its reverse (251658), we get a palindrome (85866858).

The spelling of 85615200 in words is "eighty-five million, six hundred fifteen thousand, two hundred".