1665936 has 60 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 530112.

The previous prime is 1665931. The next prime is 1665941. The reversal of 1665936 is 6395661.

1665936 is a `hidden beast` number, since 1 + 66 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1665931) and next prime (1665941).

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

Its product of digits (29160) is a multiple of the sum of its prime factors (540).

It is a self number, because there is not a number n which added to its sum of digits gives 1665936.

It is not an unprimeable number, because it can be changed into a prime (1665931) 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, 3061 + ... + 3563.

2^1665936 is an apocalyptic number.

1665936 is a gapful number since it is divisible by the number (16) 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 1665936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344).

1665936 is an abundant number, since it is smaller than the sum of its proper divisors (3208752).

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

1665936 is a wasteful number, since it uses less digits than its factorization.

1665936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 1665936 is about 1290.7114317306. The cubic root of 1665936 is about 118.5457815946.

It can be divided in two parts, 1665 and 936, that added together give a square (2601 = 51²).

The spelling of 1665936 in words is "one million, six hundred sixty-five thousand, nine hundred thirty-six".