85105560 has 128 divisors (see below), whose sum is σ = 271584000. Its totient is φ = 21275136.

The previous prime is 85105549. The next prime is 85105577. The reversal of 85105560 is 6550158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371526 + ... + 371754.

It is an arithmetic number, because the mean of its divisors is an integer number (2121750).

Almost surely, 2^85105560 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 85105560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135792000).

85105560 is an abundant number, since it is smaller than the sum of its proper divisors (186478440).

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

85105560 is a wasteful number, since it uses less digits than its factorization.

85105560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 85105560 is about 9225.2674757971. The cubic root of 85105560 is about 439.8649034281.

The spelling of 85105560 in words is "eighty-five million, one hundred five thousand, five hundred sixty".