86416 has 20 divisors (see below), whose sum is σ = 183024. Its totient is φ = 39200.

The previous prime is 86413. The next prime is 86423. The reversal of 86416 is 61468.

It is not an unprimeable number, because it can be changed into a prime (86413) 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, 70 + ... + 421.

2⁸⁶⁴¹⁶ is an apocalyptic number.

It is an amenable number.

86416 is an abundant number, since it is smaller than the sum of its proper divisors (96608).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91512).

86416 is a wasteful number, since it uses less digits than its factorization.

86416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 86416 is about 293.9659844268. The cubic root of 86416 is about 44.2111067275.

Subtracting from 86416 its product of digits (1152), we obtain a square (85264 = 292²).

It can be divided in two parts, 864 and 16, that multiplied together give a cube (13824 = 24³).

The spelling of 86416 in words is "eighty-six thousand, four hundred sixteen".