85186400 has 72 divisors (see below), whose sum is σ = 223985664. Its totient is φ = 31449600.

The previous prime is 85186399. The next prime is 85186417. The reversal of 85186400 is 468158.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6305 + ... + 14495.

It is an arithmetic number, because the mean of its divisors is an integer number (3110912).

Almost surely, 2^85186400 is an apocalyptic number.

85186400 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 85186400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111992832).

85186400 is an abundant number, since it is smaller than the sum of its proper divisors (138799264).

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

85186400 is a wasteful number, since it uses less digits than its factorization.

85186400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85186400 is about 9229.6478806074. The cubic root of 85186400 is about 440.0041321926.

The spelling of 85186400 in words is "eighty-five million, one hundred eighty-six thousand, four hundred".