10864 has 20 divisors (see below), whose sum is σ = 24304. Its totient is φ = 4608.

The previous prime is 10861. The next prime is 10867. The reversal of 10864 is 46801.

It is an interprime number because it is at equal distance from previous prime (10861) and next prime (10867).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10861) 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, 64 + ... + 160.

2¹⁰⁸⁶⁴ is an apocalyptic number.

10864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152).

10864 is an abundant number, since it is smaller than the sum of its proper divisors (13440).

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

10864 is an equidigital number, since it uses as much as digits as its factorization.

10864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10864 is about 104.2305137664. The cubic root of 10864 is about 22.1477656231.

Subtracting 10864 from its reverse (46801), we obtain a cube (35937 = 33³).

The spelling of 10864 in words is "ten thousand, eight hundred sixty-four".