85903584 has 96 divisors (see below), whose sum is σ = 257191200. Its totient is φ = 24870912.

The previous prime is 85903561. The next prime is 85903591. The reversal of 85903584 is 48530958.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19192 + ... + 23240.

It is an arithmetic number, because the mean of its divisors is an integer number (2679075).

Almost surely, 2^85903584 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 85903584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128595600).

85903584 is an abundant number, since it is smaller than the sum of its proper divisors (171287616).

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

85903584 is a wasteful number, since it uses less digits than its factorization.

85903584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 85903584 is about 9268.4186353444. The cubic root of 85903584 is about 441.2354808010.

The spelling of 85903584 in words is "eighty-five million, nine hundred three thousand, five hundred eighty-four".