1605952 has 28 divisors (see below), whose sum is σ = 3328416. Its totient is φ = 767360.

The previous prime is 1605941. The next prime is 1605971. The reversal of 1605952 is 2595061.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1605952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 927 + ... + 2017.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

2^1605952 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 1605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664208).

1605952 is an abundant number, since it is smaller than the sum of its proper divisors (1722464).

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

1605952 is a wasteful number, since it uses less digits than its factorization.

1605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 1605952 is about 1267.2616146637. The cubic root of 1605952 is about 117.1055613403.

The spelling of 1605952 in words is "one million, six hundred five thousand, nine hundred fifty-two".