10875564 has 72 divisors (see below), whose sum is σ = 31799040. Its totient is φ = 3069792.

The previous prime is 10875559. The next prime is 10875569. The reversal of 10875564 is 46557801.

10875564 is a `hidden beast` number, since 10 + 87 + 5 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (10875559) and next prime (10875569).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10875569) by changing a digit.

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, 25747 + ... + 26165.

Almost surely, 2^10875564 is an apocalyptic number.

10875564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10875564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15899520).

10875564 is an abundant number, since it is smaller than the sum of its proper divisors (20923476).

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

10875564 is a wasteful number, since it uses less digits than its factorization.

10875564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 10875564 is about 3297.8120019188. The cubic root of 10875564 is about 221.5562110734.

The spelling of 10875564 in words is "ten million, eight hundred seventy-five thousand, five hundred sixty-four".