869264 has 30 divisors (see below), whose sum is σ = 1855350. Its totient is φ = 394240.

The previous prime is 869257. The next prime is 869273. The reversal of 869264 is 462968.

It can be written as a sum of positive squares in only one way, i.e., 774400 + 94864 = 880^2 + 308^2 .

It is a nialpdrome in base 11.

It is an unprimeable number.

869264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1712 + ... + 2160.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

2⁸⁶⁹²⁶⁴ 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 869264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927675).

869264 is an abundant number, since it is smaller than the sum of its proper divisors (986086).

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

869264 is a wasteful number, since it uses less digits than its factorization.

869264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 462 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 869264 is about 932.3432844184. The cubic root of 869264 is about 95.4370993746.

The spelling of 869264 in words is "eight hundred sixty-nine thousand, two hundred sixty-four".