86025600 has 288 divisors, whose sum is σ = 320626800. Its totient is φ = 21934080.

The previous prime is 86025587. The next prime is 86025601. The reversal of 86025600 is 652068.

86025600 is a `hidden beast` number, since 8 + 602 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86025601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 835149 + ... + 835251.

Almost surely, 2^86025600 is an apocalyptic number.

86025600 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 86025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160313400).

86025600 is an abundant number, since it is smaller than the sum of its proper divisors (234601200).

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

86025600 is a wasteful number, since it uses less digits than its factorization.

86025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 86025600 is about 9274.9986522910. The cubic root of 86025600 is about 441.4442897778. Note that the first 3 decimals are identical.

Adding to 86025600 its reverse (652068), we get a palindrome (86677668).

The spelling of 86025600 in words is "eighty-six million, twenty-five thousand, six hundred".