85169520 has 120 divisors (see below), whose sum is σ = 295963200. Its totient is φ = 21923328.

The previous prime is 85169503. The next prime is 85169521. The reversal of 85169520 is 2596158.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85169521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18841 + ... + 22919.

It is an arithmetic number, because the mean of its divisors is an integer number (2466360).

Almost surely, 2^85169520 is an apocalyptic number.

85169520 is a gapful number since it is divisible by the number (80) 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 85169520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981600).

85169520 is an abundant number, since it is smaller than the sum of its proper divisors (210793680).

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

85169520 is a wasteful number, since it uses less digits than its factorization.

85169520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 85169520 is about 9228.7333908831. The cubic root of 85169520 is about 439.9750674578.

The spelling of 85169520 in words is "eighty-five million, one hundred sixty-nine thousand, five hundred twenty".