1608120 has 64 divisors (see below), whose sum is σ = 5364000. Its totient is φ = 428544.

The previous prime is 1608109. The next prime is 1608127. The reversal of 1608120 is 218061.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1608093 and 1608102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336 + ... + 1824.

2^1608120 is an apocalyptic number.

1608120 is a gapful number since it is divisible by the number (10) 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 1608120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682000).

1608120 is an abundant number, since it is smaller than the sum of its proper divisors (3755880).

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

1608120 is a wasteful number, since it uses less digits than its factorization.

1608120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1608120 is about 1268.1167138714. The cubic root of 1608120 is about 117.1582342920.

It can be divided in two parts, 1608 and 120, that added together give a cube (1728 = 12³).

The spelling of 1608120 in words is "one million, six hundred eight thousand, one hundred twenty".