85560384 has 224 divisors, whose sum is σ = 286755840. Its totient is φ = 21915648.

The previous prime is 85560383. The next prime is 85560413. The reversal of 85560384 is 48306558.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (85560383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030807 + ... + 1030889.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^85560384 is an apocalyptic number.

85560384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143377920).

85560384 is an abundant number, since it is smaller than the sum of its proper divisors (201195456).

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

85560384 is a wasteful number, since it uses less digits than its factorization.

85560384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 85560384 is about 9249.8856209145. The cubic root of 85560384 is about 440.6470919561.

The spelling of 85560384 in words is "eighty-five million, five hundred sixty thousand, three hundred eighty-four".