86456 has 16 divisors (see below), whose sum is σ = 165240. Its totient is φ = 42400.

The previous prime is 86453. The next prime is 86461. The reversal of 86456 is 65468.

86456 = T₁₄₃ + T₁₄₄ + ... + T₁₅₀.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86456.

It is not an unprimeable number, because it can be changed into a prime (86453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 755 + ... + 861.

2⁸⁶⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

86456 is a deficient number, since it is larger than the sum of its proper divisors (78784).

86456 is a wasteful number, since it uses less digits than its factorization.

86456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 86456 is about 294.0340116381. The cubic root of 86456 is about 44.2179271137.

It can be divided in two parts, 864 and 56, that multiplied together give a palindrome (48384).

The spelling of 86456 in words is "eighty-six thousand, four hundred fifty-six".