1605888 has 108 divisors (see below), whose sum is σ = 5022108. Its totient is φ = 491520.

The previous prime is 1605887. The next prime is 1605889. The reversal of 1605888 is 8885061.

It is an interprime number because it is at equal distance from previous prime (1605887) and next prime (1605889).

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 1016064 = 768^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1605881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39148 + ... + 39188.

It is an arithmetic number, because the mean of its divisors is an integer number (46501).

2^1605888 is an apocalyptic number.

1605888 is a gapful number since it is divisible by the number (18) 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 1605888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511054).

1605888 is an abundant number, since it is smaller than the sum of its proper divisors (3416220).

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

1605888 is a wasteful number, since it uses less digits than its factorization.

1605888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1605888 is about 1267.2363631146. The cubic root of 1605888 is about 117.1040056990.

The spelling of 1605888 in words is "one million, six hundred five thousand, eight hundred eighty-eight".