1214304 has 96 divisors (see below), whose sum is σ = 3951360. Its totient is φ = 317952.

The previous prime is 1214299. The next prime is 1214333. The reversal of 1214304 is 4034121.

1214304 = 105² + 106² + ... + 168².

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8667 + ... + 8805.

It is an arithmetic number, because the mean of its divisors is an integer number (41160).

2^1214304 is an apocalyptic number.

1214304 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 1214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975680).

1214304 is an abundant number, since it is smaller than the sum of its proper divisors (2737056).

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

1214304 is a wasteful number, since it uses less digits than its factorization.

1214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1214304 is about 1101.9546270151. The cubic root of 1214304 is about 106.6864199528.

Adding to 1214304 its reverse (4034121), we get a palindrome (5248425).

The spelling of 1214304 in words is "one million, two hundred fourteen thousand, three hundred four".