1331520 has 112 divisors (see below), whose sum is σ = 4511040. Its totient is φ = 331776.

The previous prime is 1331513. The next prime is 1331521. The reversal of 1331520 is 251331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1331520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18204 + ... + 18276.

2^1331520 is an apocalyptic number.

1331520 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 1331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255520).

1331520 is an abundant number, since it is smaller than the sum of its proper divisors (3179520).

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

1331520 is a wasteful number, since it uses less digits than its factorization.

1331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1331520 is about 1153.9150748647. The cubic root of 1331520 is about 110.0143232038.

Adding to 1331520 its reverse (251331), we get a palindrome (1582851).

It can be divided in two parts, 133 and 1520, that added together give a triangular number (1653 = T₅₇).

The spelling of 1331520 in words is "one million, three hundred thirty-one thousand, five hundred twenty".