1006304 has 48 divisors (see below), whose sum is σ = 2222640. Its totient is φ = 445440.

The previous prime is 1006303. The next prime is 1006307. The reversal of 1006304 is 4036001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17027 + ... + 17085.

It is an arithmetic number, because the mean of its divisors is an integer number (46305).

2^1006304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111320).

1006304 is an abundant number, since it is smaller than the sum of its proper divisors (1216336).

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

1006304 is a wasteful number, since it uses less digits than its factorization.

1006304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1006304 is about 1003.1470480443. The cubic root of 1006304 is about 100.2096933131.

The spelling of 1006304 in words is "one million, six thousand, three hundred four".