804264 has 64 divisors (see below), whose sum is σ = 2211840. Its totient is φ = 242880.

The previous prime is 804259. The next prime is 804281. The reversal of 804264 is 462408.

804264 = T₁₆₁ + T₁₆₂ + ... + T₂₀₇.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 8 + 0 + 2¹⁹ + 4² + 6⁷ + 4² .

It is a congruent number.

It is an unprimeable number.

804264 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 15 ways as a sum of consecutive naturals, for example, 17089 + ... + 17135.

It is an arithmetic number, because the mean of its divisors is an integer number (34560).

2⁸⁰⁴²⁶⁴ 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 804264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105920).

804264 is an abundant number, since it is smaller than the sum of its proper divisors (1407576).

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

804264 is a wasteful number, since it uses less digits than its factorization.

804264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 804264 is about 896.8076716889. The cubic root of 804264 is about 92.9964156325.

The spelling of 804264 in words is "eight hundred four thousand, two hundred sixty-four".