1056564 has 36 divisors (see below), whose sum is σ = 2772224. Its totient is φ = 351864.

The previous prime is 1056563. The next prime is 1056569. The reversal of 1056564 is 4656501.

It is a happy number.

1056564 is a `hidden beast` number, since 1 + 0 + 5 + 656 + 4 = 666.

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

It is a super-2 number, since 2×1056564² = 2232654972192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056563) 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, 429 + ... + 1515.

2^1056564 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 1056564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386112).

1056564 is an abundant number, since it is smaller than the sum of its proper divisors (1715660).

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

1056564 is a wasteful number, since it uses less digits than its factorization.

1056564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1056564 is about 1027.8929905394. The cubic root of 1056564 is about 101.8509935028.

The spelling of 1056564 in words is "one million, fifty-six thousand, five hundred sixty-four".