86528 has 30 divisors (see below), whose sum is σ = 187209. Its totient is φ = 39936.

The previous prime is 86509. The next prime is 86531. The reversal of 86528 is 82568.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 73984 + 12544 = 272^2 + 112^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=208.

It is a Duffinian number.

Its product of digits (3840) is a multiple of the sum of its prime divisors (15).

It is a self number, because there is not a number *n* which added to its sum of digits gives 86528.

It is an unprimeable number.

86528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6650 + ... + 6662.

2^{86528} 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 86528

86528 is an abundant number, since it is smaller than the sum of its proper divisors (100681).

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

86528 is an equidigital number, since it uses as much as digits as its factorization.

86528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 15 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 86528 is about 294.1564209736. The cubic root of 86528 is about 44.2301985094.

The spelling of 86528 in words is "eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1352 1664 2704 3328 5408 6656 10816 21632 43264 86528

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