1604768 has 48 divisors (see below), whose sum is σ = 3556224. Its totient is φ = 706560.

The previous prime is 1604753. The next prime is 1604809. The reversal of 1604768 is 8674061.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16496 + ... + 16592.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

2^1604768 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 1604768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778112).

1604768 is an abundant number, since it is smaller than the sum of its proper divisors (1951456).

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

1604768 is a wasteful number, since it uses less digits than its factorization.

1604768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1604768 is about 1266.7943795265. The cubic root of 1604768 is about 117.0767752842.

Subtracting from 1604768 its sum of digits (32), we obtain a triangular number (1604736 = T₁₇₉₁).

The spelling of 1604768 in words is "one million, six hundred four thousand, seven hundred sixty-eight".