864280 has 64 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 307200.

The previous prime is 864277. The next prime is 864289. The reversal of 864280 is 82468.

864280 = 233² + 234² + ... + 247².

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21060 + ... + 21100.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁸⁶⁴²⁸⁰ 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 864280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

864280 is an abundant number, since it is smaller than the sum of its proper divisors (1313000).

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

864280 is a wasteful number, since it uses less digits than its factorization.

864280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 864280 is about 929.6666069081. Note that the first 4 decimals coincide. The cubic root of 864280 is about 95.2543507174.

The spelling of 864280 in words is "eight hundred sixty-four thousand, two hundred eighty".