86250060 has 288 divisors, whose sum is σ = 308206080. Its totient is φ = 19353600.

The previous prime is 86250049. The next prime is 86250103. The reversal of 86250060 is 6005268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2103640 + ... + 2103680.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 2^86250060 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 86250060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

86250060 is an abundant number, since it is smaller than the sum of its proper divisors (221956020).

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

86250060 is a wasteful number, since it uses less digits than its factorization.

86250060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

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

The square root of 86250060 is about 9287.0910407942. The cubic root of 86250060 is about 441.8278985730.

The spelling of 86250060 in words is "eighty-six million, two hundred fifty thousand, sixty".