1261344 has 48 divisors (see below), whose sum is σ = 3786048. Its totient is φ = 360192.

The previous prime is 1261333. The next prime is 1261357. The reversal of 1261344 is 4431621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1261344³ = 6020352100733386752, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1261344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (78876).

2^1261344 is an apocalyptic number.

1261344 is a gapful number since it is divisible by the number (14) 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 1261344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893024).

1261344 is an abundant number, since it is smaller than the sum of its proper divisors (2524704).

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

1261344 is a wasteful number, since it uses less digits than its factorization.

1261344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1889 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 1261344 is about 1123.0957216551. The cubic root of 1261344 is about 108.0466191054.

Adding to 1261344 its reverse (4431621), we get a palindrome (5692965).

The spelling of 1261344 in words is "one million, two hundred sixty-one thousand, three hundred forty-four".