85585500 has 576 divisors, whose sum is σ = 381588480. Its totient is φ = 15552000.

The previous prime is 85585469. The next prime is 85585537. The reversal of 85585500 is 558558.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4504491 + ... + 4504509.

It is an arithmetic number, because the mean of its divisors is an integer number (662480).

Almost surely, 2^85585500 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 85585500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

85585500 is an abundant number, since it is smaller than the sum of its proper divisors (296002980).

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

85585500 is a wasteful number, since it uses less digits than its factorization.

85585500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 85585500 is about 9251.2431597056. The cubic root of 85585500 is about 440.6902046253.

It can be divided in two parts, 855 and 85500, that multiplied together give a square (73102500 = 8550²).

The spelling of 85585500 in words is "eighty-five million, five hundred eighty-five thousand, five hundred".