814264 has 32 divisors (see below), whose sum is σ = 1756800. Its totient is φ = 349920.

The previous prime is 814243. The next prime is 814279. The reversal of 814264 is 462418.

814264 = T₂₆₁ + T₂₆₂ + ... + T₂₈₂.

814264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429 + ... + 1915.

It is an arithmetic number, because the mean of its divisors is an integer number (54900).

2⁸¹⁴²⁶⁴ 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 814264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878400).

814264 is an abundant number, since it is smaller than the sum of its proper divisors (942536).

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

814264 is a wasteful number, since it uses less digits than its factorization.

814264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 519 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 814264 is about 902.3657794930. The cubic root of 814264 is about 93.3802598489.

The spelling of 814264 in words is "eight hundred fourteen thousand, two hundred sixty-four".