1521360 has 60 divisors (see below), whose sum is σ = 5111652. Its totient is φ = 405504.

The previous prime is 1521337. The next prime is 1521361. The reversal of 1521360 is 631251.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 1354896 = 408^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1521361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337 + ... + 1776.

2^1521360 is an apocalyptic number.

1521360 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 1521360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555826).

1521360 is an abundant number, since it is smaller than the sum of its proper divisors (3590292).

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

1521360 is a wasteful number, since it uses less digits than its factorization.

1521360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1521360 is about 1233.4342301071. The cubic root of 1521360 is about 115.0122230234.

It can be divided in two parts, 1521 and 360, that added together give a palindrome (1881).

The spelling of 1521360 in words is "one million, five hundred twenty-one thousand, three hundred sixty".