1531360 has 48 divisors (see below), whose sum is σ = 3837456. Its totient is φ = 575488.

The previous prime is 1531357. The next prime is 1531367. The reversal of 1531360 is 631351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2439 + ... + 3001.

It is an arithmetic number, because the mean of its divisors is an integer number (79947).

2^1531360 is an apocalyptic number.

1531360 is a gapful number since it is divisible by the number (10) 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 1531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918728).

1531360 is an abundant number, since it is smaller than the sum of its proper divisors (2306096).

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

1531360 is a wasteful number, since it uses less digits than its factorization.

1531360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 1531360 is about 1237.4813129902. The cubic root of 1531360 is about 115.2636672244.

Subtracting from 1531360 its reverse (631351), we obtain a palindrome (900009).

It can be divided in two parts, 1531 and 360, that added together give a triangular number (1891 = T₆₁).

The spelling of 1531360 in words is "one million, five hundred thirty-one thousand, three hundred sixty".