85134720 has 256 divisors, whose sum is σ = 308448000. Its totient is φ = 19783680.

The previous prime is 85134713. The next prime is 85134733. The reversal of 85134720 is 2743158.

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 31 ways as a sum of consecutive naturals, for example, 612411 + ... + 612549.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^85134720 is an apocalyptic number.

85134720 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 85134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

85134720 is an abundant number, since it is smaller than the sum of its proper divisors (223313280).

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

85134720 is a wasteful number, since it uses less digits than its factorization.

85134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 85134720 is about 9226.8477824228. The cubic root of 85134720 is about 439.9151351479.

Adding to 85134720 its reverse (2743158), we get a palindrome (87877878).

The spelling of 85134720 in words is "eighty-five million, one hundred thirty-four thousand, seven hundred twenty".