10704564 has 72 divisors (see below), whose sum is σ = 29582280. Its totient is φ = 3244032.

The previous prime is 10704559. The next prime is 10704583. The reversal of 10704564 is 46540701.

10704564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1340964 + 9363600 = 1158^2 + 3060^2 .

It is a super-2 number, since 2×10704564² = 229175380860192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41524 + ... + 41780.

It is an arithmetic number, because the mean of its divisors is an integer number (410865).

Almost surely, 2^10704564 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 10704564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791140).

10704564 is an abundant number, since it is smaller than the sum of its proper divisors (18877716).

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

10704564 is a wasteful number, since it uses less digits than its factorization.

10704564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10704564 is about 3271.7830001392. The cubic root of 10704564 is about 220.3888714554.

It can be divided in two parts, 1070456 and 4, that multiplied together give a palindrome (4281824).

The spelling of 10704564 in words is "ten million, seven hundred four thousand, five hundred sixty-four".