831264 has 48 divisors (see below), whose sum is σ = 2495808. Its totient is φ = 237312.

The previous prime is 831253. The next prime is 831287. The reversal of 831264 is 462138.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

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

It is one of the 548 Lynch-Bell numbers.

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, 54 + ... + 1290.

It is an arithmetic number, because the mean of its divisors is an integer number (51996).

2⁸³¹²⁶⁴ is an apocalyptic number.

831264 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 831264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247904).

831264 is an abundant number, since it is smaller than the sum of its proper divisors (1664544).

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

831264 is a wasteful number, since it uses less digits than its factorization.

831264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1249 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 831264 is about 911.7368041272. The cubic root of 831264 is about 94.0256456357.

The spelling of 831264 in words is "eight hundred thirty-one thousand, two hundred sixty-four".