86436 has 45 divisors (see below), whose sum is σ = 254891. Its totient is φ = 24696.

The previous prime is 86423. The next prime is 86441. The reversal of 86436 is 63468.

86436 = T_{293} + T_{294}.

The square root of 86436 is 294.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (3456) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 7.

It is an unprimeable number.

86436 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 14 ways as a sum of consecutive naturals, for example, 12345 + ... + 12351.

2^{86436} is an apocalyptic number.

86436 is the 294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86436

86436 is an abundant number, since it is smaller than the sum of its proper divisors (168455).

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

86436 is a wasteful number, since it uses less digits than its factorization.

86436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 12 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The cubic root of 86436 is about 44.2145171836.

It can be divided in two parts, 8643 and 6, that added together give a square (8649 = 93^{2}).

The spelling of 86436 in words is "eighty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2401 3087 4116 4802 6174 7203 9604 12348 14406 21609 28812 43218 86436

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