85385120 has 48 divisors (see below), whose sum is σ = 205548840. Its totient is φ = 33506304.

The previous prime is 85385117. The next prime is 85385137. The reversal of 85385120 is 2158358.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67305616 + 18079504 = 8204^2 + 4252^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3446 + ... + 13514.

Almost surely, 2^85385120 is an apocalyptic number.

85385120 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 85385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102774420).

85385120 is an abundant number, since it is smaller than the sum of its proper divisors (120163720).

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

85385120 is a wasteful number, since it uses less digits than its factorization.

85385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10137 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 85385120 is about 9240.4069174469. The cubic root of 85385120 is about 440.3460088247.

The spelling of 85385120 in words is "eighty-five million, three hundred eighty-five thousand, one hundred twenty".