1605120 has 160 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 368640.

The previous prime is 1605103. The next prime is 1605127. The reversal of 1605120 is 215061.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1605120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605127) 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, 84471 + ... + 84489.

It is an arithmetic number, because the mean of its divisors is an integer number (36828).

2^1605120 is an apocalyptic number.

1605120 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 1605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

1605120 is an abundant number, since it is smaller than the sum of its proper divisors (4287360).

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

1605120 is a wasteful number, since it uses less digits than its factorization.

1605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1605120 is about 1266.9333052691. The cubic root of 1605120 is about 117.0853347795.

The spelling of 1605120 in words is "one million, six hundred five thousand, one hundred twenty".