85595400 has 288 divisors, whose sum is σ = 326541600. Its totient is φ = 20592000.

The previous prime is 85595387. The next prime is 85595401. The reversal of 85595400 is 459558.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (85595401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 653335 + ... + 653465.

It is an arithmetic number, because the mean of its divisors is an integer number (1133825).

Almost surely, 2^85595400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85595400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163270800).

85595400 is an abundant number, since it is smaller than the sum of its proper divisors (240946200).

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

85595400 is a wasteful number, since it uses less digits than its factorization.

85595400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 85595400 is about 9251.7782074583. The cubic root of 85595400 is about 440.7071960737.

The spelling of 85595400 in words is "eighty-five million, five hundred ninety-five thousand, four hundred".