1131520 has 88 divisors (see below), whose sum is σ = 3095064. Its totient is φ = 393216.

The previous prime is 1131509. The next prime is 1131523. The reversal of 1131520 is 251311.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 1048576 = 288^2 + 1024^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1131520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131523) 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, 66552 + ... + 66568.

2^1131520 is an apocalyptic number.

1131520 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 1131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547532).

1131520 is an abundant number, since it is smaller than the sum of its proper divisors (1963544).

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

1131520 is a wasteful number, since it uses less digits than its factorization.

1131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1131520 is about 1063.7292888701. The cubic root of 1131520 is about 104.2047249378.

Adding to 1131520 its reverse (251311), we get a palindrome (1382831).

The spelling of 1131520 in words is "one million, one hundred thirty-one thousand, five hundred twenty".