85501560 has 64 divisors (see below), whose sum is σ = 258940800. Its totient is φ = 22583936.

The previous prime is 85501553. The next prime is 85501571. The reversal of 85501560 is 6510558.

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 15 ways as a sum of consecutive naturals, for example, 9511 + ... + 16169.

It is an arithmetic number, because the mean of its divisors is an integer number (4045950).

Almost surely, 2^85501560 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 85501560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129470400).

85501560 is an abundant number, since it is smaller than the sum of its proper divisors (173439240).

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

85501560 is a wasteful number, since it uses less digits than its factorization.

85501560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6780 (or 6776 counting only the distinct ones).

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

The square root of 85501560 is about 9246.7053592077. The cubic root of 85501560 is about 440.5460850575.

The spelling of 85501560 in words is "eighty-five million, five hundred one thousand, five hundred sixty".