863264 has 24 divisors (see below), whose sum is σ = 1735020. Its totient is φ = 422656.

The previous prime is 863251. The next prime is 863279. The reversal of 863264 is 462368.

It can be written as a sum of positive squares in 2 ways, for example, as 795664 + 67600 = 892^2 + 260^2 .

It is an unprimeable number.

863264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1442 + ... + 1950.

2⁸⁶³²⁶⁴ 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 863264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867510).

863264 is an abundant number, since it is smaller than the sum of its proper divisors (871756).

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

863264 is a wasteful number, since it uses less digits than its factorization.

863264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 863264 is about 929.1200137765. The cubic root of 863264 is about 95.2170108246.

The spelling of 863264 in words is "eight hundred sixty-three thousand, two hundred sixty-four".