85645560 has 512 divisors, whose sum is σ = 371589120. Its totient is φ = 15206400.

The previous prime is 85645543. The next prime is 85645561. The reversal of 85645560 is 6554658.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85645561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2762745 + ... + 2762775.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^85645560 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 85645560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

85645560 is an abundant number, since it is smaller than the sum of its proper divisors (285943560).

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

85645560 is a wasteful number, since it uses less digits than its factorization.

85645560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 85645560 is about 9254.4886406543. The cubic root of 85645560 is about 440.7932659492.

The spelling of 85645560 in words is "eighty-five million, six hundred forty-five thousand, five hundred sixty".