86535000 has 160 divisors (see below), whose sum is σ = 300841200. Its totient is φ = 23040000.

The previous prime is 86534999. The next prime is 86535017. The reversal of 86535000 is 53568.

86535000 is a `hidden beast` number, since 8 + 653 + 5 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134680 + ... + 135320.

Almost surely, 2^86535000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150420600).

86535000 is an abundant number, since it is smaller than the sum of its proper divisors (214306200).

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

86535000 is a wasteful number, since it uses less digits than its factorization.

86535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 86535000 is about 9302.4190402282. The cubic root of 86535000 is about 442.3139119866.

Adding to 86535000 its reverse (53568), we get a palindrome (86588568).

The spelling of 86535000 in words is "eighty-six million, five hundred thirty-five thousand".