86464 has 28 divisors (see below), whose sum is σ = 197104. Its totient is φ = 36864.

The previous prime is 86461. The next prime is 86467. The reversal of 86464 is 46468.

It is an interprime number because it is at equal distance from previous prime (86461) and next prime (86467).

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86461) 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, 352 + ... + 544.

2⁸⁶⁴⁶⁴ 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 86464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98552).

86464 is an abundant number, since it is smaller than the sum of its proper divisors (110640).

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

86464 is a wasteful number, since it uses less digits than its factorization.

86464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 86464 is about 294.0476151918. The cubic root of 86464 is about 44.2192909385.

Subtracting from 86464 its sum of digits (28), we obtain a square (86436 = 294²).

The spelling of 86464 in words is "eighty-six thousand, four hundred sixty-four".