1965564 has 36 divisors (see below), whose sum is σ = 5045040. Its totient is φ = 645120.

The previous prime is 1965553. The next prime is 1965571. The reversal of 1965564 is 4655691.

1965564 is a `hidden beast` number, since 1 + 96 + 5 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2172 + ... + 2940.

It is an arithmetic number, because the mean of its divisors is an integer number (140140).

2^1965564 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 1965564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522520).

1965564 is an abundant number, since it is smaller than the sum of its proper divisors (3079476).

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

1965564 is a wasteful number, since it uses less digits than its factorization.

1965564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 845 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1965564 is about 1401.9857345922. The cubic root of 1965564 is about 125.2648039681.

The spelling of 1965564 in words is "one million, nine hundred sixty-five thousand, five hundred sixty-four".