85586400 has 108 divisors (see below), whose sum is σ = 301824432. Its totient is φ = 22821120.

The previous prime is 85586359. The next prime is 85586419. The reversal of 85586400 is 468558.

It is a happy number.

85586400 is a `hidden beast` number, since 8 + 5 + 5 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 1257 + ... + 13143.

Almost surely, 2^85586400 is an apocalyptic number.

85586400 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 85586400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150912216).

85586400 is an abundant number, since it is smaller than the sum of its proper divisors (216238032).

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

85586400 is a wasteful number, since it uses less digits than its factorization.

85586400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11913 (or 11897 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85586400 is about 9251.2918016891. The cubic root of 85586400 is about 440.6917493566.

The spelling of 85586400 in words is "eighty-five million, five hundred eighty-six thousand, four hundred".