85809024 has 128 divisors (see below), whose sum is σ = 289516800. Its totient is φ = 24509952.

The previous prime is 85809001. The next prime is 85809041. The reversal of 85809024 is 42090858.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 85809024.

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, 22419 + ... + 25965.

It is an arithmetic number, because the mean of its divisors is an integer number (2261850).

Almost surely, 2^85809024 is an apocalyptic number.

85809024 is a gapful number since it is divisible by the number (84) 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 85809024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144758400).

85809024 is an abundant number, since it is smaller than the sum of its proper divisors (203707776).

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

85809024 is a wasteful number, since it uses less digits than its factorization.

85809024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85809024 is about 9263.3160369276. The cubic root of 85809024 is about 441.0735219176.

The spelling of 85809024 in words is "eighty-five million, eight hundred nine thousand, twenty-four".