1205204 has 72 divisors (see below), whose sum is σ = 2949408. Its totient is φ = 423360.

The previous prime is 1205179. The next prime is 1205219. The reversal of 1205204 is 4025021.

1205204 = 11² + 12² + ... + 153².

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28007 + ... + 28049.

It is an arithmetic number, because the mean of its divisors is an integer number (40964).

2^1205204 is an apocalyptic number.

1205204 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 1205204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474704).

1205204 is an abundant number, since it is smaller than the sum of its proper divisors (1744204).

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

1205204 is a wasteful number, since it uses less digits than its factorization.

1205204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1205204 is about 1097.8178355265. The cubic root of 1205204 is about 106.4192485951.

The spelling of 1205204 in words is "one million, two hundred five thousand, two hundred four".