86250528 has 192 divisors, whose sum is σ = 309899520. Its totient is φ = 22726656.

The previous prime is 86250517. The next prime is 86250539. The reversal of 86250528 is 82505268.

86250528 is a `hidden beast` number, since 8 + 625 + 0 + 5 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (86250517) and next prime (86250539).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86250492 and 86250501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78076 + ... + 79172.

It is an arithmetic number, because the mean of its divisors is an integer number (1614060).

Almost surely, 2^86250528 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 86250528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949760).

86250528 is an abundant number, since it is smaller than the sum of its proper divisors (223648992).

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

86250528 is a wasteful number, since it uses less digits than its factorization.

86250528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 86250528 is about 9287.1162370243. The cubic root of 86250528 is about 441.8286977032.

The spelling of 86250528 in words is "eighty-six million, two hundred fifty thousand, five hundred twenty-eight".