85851200 has 42 divisors (see below), whose sum is σ = 211251546. Its totient is φ = 34339840.

The previous prime is 85851191. The next prime is 85851247. The reversal of 85851200 is 215858.

It can be written as a sum of positive squares in 3 ways, for example, as 12166144 + 73685056 = 3488^2 + 8584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25229 + ... + 28428.

Almost surely, 2^85851200 is an apocalyptic number.

85851200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85851200 is an abundant number, since it is smaller than the sum of its proper divisors (125400346).

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

85851200 is a wasteful number, since it uses less digits than its factorization.

85851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53679 (or 53664 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 85851200 is about 9265.5922638545. The cubic root of 85851200 is about 441.1457741082.

The spelling of 85851200 in words is "eighty-five million, eight hundred fifty-one thousand, two hundred".