86025888 has 288 divisors, whose sum is σ = 292795776. Its totient is φ = 24634368.

The previous prime is 86025881. The next prime is 86025889. The reversal of 86025888 is 88852068.

86025888 is a `hidden beast` number, since 8 + 60 + 2 + 588 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (86025881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2325006 + ... + 2325042.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 2^86025888 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 86025888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

86025888 is an abundant number, since it is smaller than the sum of its proper divisors (206769888).

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

86025888 is a wasteful number, since it uses less digits than its factorization.

86025888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 86025888 is about 9275.0141778867. The cubic root of 86025888 is about 441.4447824056. Note that the first 3 decimals are identical.

The spelling of 86025888 in words is "eighty-six million, twenty-five thousand, eight hundred eighty-eight".