85855616 has 128 divisors (see below), whose sum is σ = 220907520. Its totient is φ = 32256000.

The previous prime is 85855603. The next prime is 85855621. The reversal of 85855616 is 61655858.

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 (44).

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, 305396 + ... + 305676.

It is an arithmetic number, because the mean of its divisors is an integer number (1725840).

Almost surely, 2^85855616 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 85855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110453760).

85855616 is an abundant number, since it is smaller than the sum of its proper divisors (135051904).

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

85855616 is a wasteful number, since it uses less digits than its factorization.

85855616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its digits is 288000, while the sum is 44.

The square root of 85855616 is about 9265.8305618007. The cubic root of 85855616 is about 441.1533378400.

The spelling of 85855616 in words is "eighty-five million, eight hundred fifty-five thousand, six hundred sixteen".