86946 has 16 divisors (see below), whose sum is σ = 178464. Its totient is φ = 28224.

The previous prime is 86939. The next prime is 86951. The reversal of 86946 is 64968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (11154).

2⁸⁶⁹⁴⁶ is an apocalyptic number.

86946 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

86946 is an abundant number, since it is smaller than the sum of its proper divisors (91518).

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 (89232).

86946 is a wasteful number, since it uses less digits than its factorization.

86946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385.

The product of its digits is 10368, while the sum is 33.

The square root of 86946 is about 294.8660712934. The cubic root of 86946 is about 44.3013066348.

The spelling of 86946 in words is "eighty-six thousand, nine hundred forty-six".