1035564 has 12 divisors (see below), whose sum is σ = 2416344. Its totient is φ = 345184.

The previous prime is 1035563. The next prime is 1035571. The reversal of 1035564 is 4655301.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×1035564³ = 3331594126702458432, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1035563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43137 + ... + 43160.

It is an arithmetic number, because the mean of its divisors is an integer number (201362).

2^1035564 is an apocalyptic number.

It is an amenable number.

1035564 is an abundant number, since it is smaller than the sum of its proper divisors (1380780).

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

1035564 is a wasteful number, since it uses less digits than its factorization.

1035564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86304 (or 86302 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1035564 is about 1017.6266505944. The cubic root of 1035564 is about 101.1716846006.

It can be divided in two parts, 1035 and 564, that multiplied together give a triangular number (583740 = T₁₀₈₀).

The spelling of 1035564 in words is "one million, thirty-five thousand, five hundred sixty-four".