1205904 has 80 divisors (see below), whose sum is σ = 3694208. Its totient is φ = 331776.

The previous prime is 1205903. The next prime is 1205921. The reversal of 1205904 is 4095021.

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

It is not an unprimeable number, because it can be changed into a prime (1205903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12384 + ... + 12480.

2^1205904 is an apocalyptic number.

1205904 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 1205904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847104).

1205904 is an abundant number, since it is smaller than the sum of its proper divisors (2488304).

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

1205904 is a wasteful number, since it uses less digits than its factorization.

1205904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1205904 is about 1098.1366035244. The cubic root of 1205904 is about 106.4398478896.

The spelling of 1205904 in words is "one million, two hundred five thousand, nine hundred four".