1531264 has 32 divisors (see below), whose sum is σ = 3488400. Its totient is φ = 655872.

The previous prime is 1531253. The next prime is 1531279. The reversal of 1531264 is 4621351.

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

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, 42 + ... + 1750.

2^1531264 is an apocalyptic number.

1531264 is a gapful number since it is divisible by the number (14) 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 1531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744200).

1531264 is an abundant number, since it is smaller than the sum of its proper divisors (1957136).

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

1531264 is an equidigital number, since it uses as much as digits as its factorization.

1531264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1718 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 1531264 is about 1237.4425239178. The cubic root of 1531264 is about 115.2612585717.

It can be divided in two parts, 15312 and 64, that added together give a square (15376 = 124²).

The spelling of 1531264 in words is "one million, five hundred thirty-one thousand, two hundred sixty-four".