1956564 has 72 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 582912.

The previous prime is 1956553. The next prime is 1956583. The reversal of 1956564 is 4656591.

1956564 is a `hidden beast` number, since 1 + 95 + 6 + 564 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14007 + ... + 14145.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

2^1956564 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 1956564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

1956564 is an abundant number, since it is smaller than the sum of its proper divisors (3547116).

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

1956564 is a wasteful number, since it uses less digits than its factorization.

1956564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

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

The square root of 1956564 is about 1398.7723188568. The cubic root of 1956564 is about 125.0733223156.

The spelling of 1956564 in words is "one million, nine hundred fifty-six thousand, five hundred sixty-four".