85427600 has 60 divisors (see below), whose sum is σ = 210286020. Its totient is φ = 33331200.

The previous prime is 85427597. The next prime is 85427611. The reversal of 85427600 is 672458.

It can be written as a sum of positive squares in 6 ways, for example, as 861184 + 84566416 = 928^2 + 9196^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13796 + ... + 19004.

It is an arithmetic number, because the mean of its divisors is an integer number (3504767).

Almost surely, 2^85427600 is an apocalyptic number.

85427600 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 85427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105143010).

85427600 is an abundant number, since it is smaller than the sum of its proper divisors (124858420).

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

85427600 is a wasteful number, since it uses less digits than its factorization.

85427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 85427600 is about 9242.7052316949. The cubic root of 85427600 is about 440.4190223162.

The spelling of 85427600 in words is "eighty-five million, four hundred twenty-seven thousand, six hundred".