817264 has 20 divisors (see below), whose sum is σ = 1809904. Its totient is φ = 350208.

The previous prime is 817237. The next prime is 817273. The reversal of 817264 is 462718.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 15.

It is a zygodrome in base 2 and base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3537 + ... + 3760.

2⁸¹⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

817264 is an abundant number, since it is smaller than the sum of its proper divisors (992640).

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

817264 is a wasteful number, since it uses less digits than its factorization.

817264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7312 (or 7306 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 817264 is about 904.0265482827. The cubic root of 817264 is about 93.4947998671.

It can be divided in two parts, 817 and 264, that added together give a triangular number (1081 = T₄₆).

The spelling of 817264 in words is "eight hundred seventeen thousand, two hundred sixty-four".