1261904 has 40 divisors (see below), whose sum is σ = 2946240. Its totient is φ = 511488.

The previous prime is 1261901. The next prime is 1261913. The reversal of 1261904 is 4091621.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1261904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1832 + ... + 2424.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

2^1261904 is an apocalyptic number.

1261904 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 1261904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473120).

1261904 is an abundant number, since it is smaller than the sum of its proper divisors (1684336).

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

1261904 is a wasteful number, since it uses less digits than its factorization.

1261904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1261904 is about 1123.3450048850. The cubic root of 1261904 is about 108.0626065903.

It can be divided in two parts, 12 and 61904, that added together give a palindrome (61916).

The spelling of 1261904 in words is "one million, two hundred sixty-one thousand, nine hundred four".