1608672 has 48 divisors (see below), whose sum is σ = 4551120. Its totient is φ = 494592.

The previous prime is 1608671. The next prime is 1608697. The reversal of 1608672 is 2768061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604 + ... + 1892.

It is an arithmetic number, because the mean of its divisors is an integer number (94815).

2^1608672 is an apocalyptic number.

1608672 is a gapful number since it is divisible by the number (12) 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 1608672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275560).

1608672 is an abundant number, since it is smaller than the sum of its proper divisors (2942448).

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

1608672 is a wasteful number, since it uses less digits than its factorization.

1608672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1608672 is about 1268.3343407793. The cubic root of 1608672 is about 117.1716379242.

The spelling of 1608672 in words is "one million, six hundred eight thousand, six hundred seventy-two".