873264 has 80 divisors (see below), whose sum is σ = 2714112. Its totient is φ = 236544.

The previous prime is 873263. The next prime is 873293. The reversal of 873264 is 462378.

873264 = T₄₉₆ + T₄₉₇ + ... + T₅₀₂.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 8⁵ + 7⁷ + 2¹³ + 3⁶ + 6⁵ + 4⁴ .

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (873263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7672 + ... + 7784.

2⁸⁷³²⁶⁴ is an apocalyptic number.

873264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357056).

873264 is an abundant number, since it is smaller than the sum of its proper divisors (1840848).

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

873264 is a wasteful number, since it uses less digits than its factorization.

873264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 873264 is about 934.4859549506. The cubic root of 873264 is about 95.5832630025.

The spelling of 873264 in words is "eight hundred seventy-three thousand, two hundred sixty-four".