855264 has 48 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 278400.

The previous prime is 855241. The next prime is 855269. The reversal of 855264 is 462558.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855269) by changing a digit.

855264 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 7 ways as a sum of consecutive naturals, for example, 5589 + ... + 5739.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2⁸⁵⁵²⁶⁴ 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 855264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

855264 is an abundant number, since it is smaller than the sum of its proper divisors (1442976).

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

855264 is a wasteful number, since it uses less digits than its factorization.

855264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 855264 is about 924.8048442780. The cubic root of 855264 is about 94.9219673160.

The spelling of 855264 in words is "eight hundred fifty-five thousand, two hundred sixty-four".