85459616 has 48 divisors (see below), whose sum is σ = 185340960. Its totient is φ = 38465280.

The previous prime is 85459609. The next prime is 85459631. The reversal of 85459616 is 61695458.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36530 + ... + 38798.

It is an arithmetic number, because the mean of its divisors is an integer number (3861270).

Almost surely, 2^85459616 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 85459616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92670480).

85459616 is an abundant number, since it is smaller than the sum of its proper divisors (99881344).

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

85459616 is a wasteful number, since it uses less digits than its factorization.

85459616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2389 counting only the distinct ones).

The product of its digits is 259200, while the sum is 44.

The square root of 85459616 is about 9244.4370299116. The cubic root of 85459616 is about 440.4740345694.

The spelling of 85459616 in words is "eighty-five million, four hundred fifty-nine thousand, six hundred sixteen".