1261824 has 72 divisors (see below), whose sum is σ = 3532032. Its totient is φ = 399360.

The previous prime is 1261823. The next prime is 1261829. The reversal of 1261824 is 4281621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1261794 and 1261803.

It is not an unprimeable number, because it can be changed into a prime (1261823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23782 + ... + 23834.

It is an arithmetic number, because the mean of its divisors is an integer number (49056).

2^1261824 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 1261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766016).

1261824 is an abundant number, since it is smaller than the sum of its proper divisors (2270208).

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

1261824 is an equidigital number, since it uses as much as digits as its factorization.

1261824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 1261824 is about 1123.3093963820. The cubic root of 1261824 is about 108.0603229535.

The spelling of 1261824 in words is "one million, two hundred sixty-one thousand, eight hundred twenty-four".