1261524 has 48 divisors (see below), whose sum is σ = 3386880. Its totient is φ = 361440.

The previous prime is 1261523. The next prime is 1261531. The reversal of 1261524 is 4251621.

It is a self number, because there is not a number n which added to its sum of digits gives 1261524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2257 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

2^1261524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1261524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693440).

1261524 is an abundant number, since it is smaller than the sum of its proper divisors (2125356).

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

1261524 is a wasteful number, since it uses less digits than its factorization.

1261524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 1261524 is about 1123.1758544413. The cubic root of 1261524 is about 108.0517584558.

The spelling of 1261524 in words is "one million, two hundred sixty-one thousand, five hundred twenty-four".