870264 has 80 divisors (see below), whose sum is σ = 2613600. Its totient is φ = 269568.

The previous prime is 870253. The next prime is 870271. The reversal of 870264 is 462078.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 870264.

It is an unprimeable number.

870264 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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10977 + ... + 11055.

It is an arithmetic number, because the mean of its divisors is an integer number (32670).

2⁸⁷⁰²⁶⁴ 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 870264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306800).

870264 is an abundant number, since it is smaller than the sum of its proper divisors (1743336).

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

870264 is a wasteful number, since it uses less digits than its factorization.

870264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 870264 is about 932.8794134292. The cubic root of 870264 is about 95.4736822485.

The spelling of 870264 in words is "eight hundred seventy thousand, two hundred sixty-four".