85299200 has 234 divisors, whose sum is σ = 260522946. Its totient is φ = 27525120.

The previous prime is 85299173. The next prime is 85299239. The reversal of 85299200 is 299258.

It can be written as a sum of positive squares in 3 ways, for example, as 12845056 + 72454144 = 3584^2 + 8512^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5017592 + ... + 5017608.

Almost surely, 2^85299200 is an apocalyptic number.

85299200 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 85299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130261473).

85299200 is an abundant number, since it is smaller than the sum of its proper divisors (175223746).

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

85299200 is a wasteful number, since it uses less digits than its factorization.

85299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 85299200 is about 9235.7566013836. The cubic root of 85299200 is about 440.1982577619.

The spelling of 85299200 in words is "eighty-five million, two hundred ninety-nine thousand, two hundred".