86535120 has 160 divisors (see below), whose sum is σ = 322836480. Its totient is φ = 18731520.

The previous prime is 86535089. The next prime is 86535143. The reversal of 86535120 is 2153568.

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, 30565 + ... + 33275.

It is an arithmetic number, because the mean of its divisors is an integer number (2017728).

Almost surely, 2^86535120 is an apocalyptic number.

86535120 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 86535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161418240).

86535120 is an abundant number, since it is smaller than the sum of its proper divisors (236301360).

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

86535120 is a wasteful number, since it uses less digits than its factorization.

86535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 86535120 is about 9302.4254901612. The cubic root of 86535120 is about 442.3141164420.

Adding to 86535120 its reverse (2153568), we get a palindrome (88688688).

The spelling of 86535120 in words is "eighty-six million, five hundred thirty-five thousand, one hundred twenty".