731264 has 32 divisors (see below), whose sum is σ = 1514700. Its totient is φ = 351232.

The previous prime is 731261. The next prime is 731267. The reversal of 731264 is 462137.

It is an interprime number because it is at equal distance from previous prime (731261) and next prime (731267).

It can be written as a sum of positive squares in 2 ways, for example, as 652864 + 78400 = 808^2 + 280^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 731264.

It is not an unprimeable number, because it can be changed into a prime (731261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3614 + ... + 3810.

2⁷³¹²⁶⁴ 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 731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757350).

731264 is an abundant number, since it is smaller than the sum of its proper divisors (783436).

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

731264 is a wasteful number, since it uses less digits than its factorization.

731264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 731264 is about 855.1397546600. The cubic root of 731264 is about 90.0930724413.

The spelling of 731264 in words is "seven hundred thirty-one thousand, two hundred sixty-four".