10938564 has 180 divisors, whose sum is σ = 36498924. Its totient is φ = 2830464.

The previous prime is 10938553. The next prime is 10938583. The reversal of 10938564 is 46583901.

10938564 is a `hidden beast` number, since 1 + 0 + 93 + 8 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4588164 + 6350400 = 2142^2 + 2520^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 206362 + ... + 206414.

Almost surely, 2^10938564 is an apocalyptic number.

10938564 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 10938564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249462).

10938564 is an abundant number, since it is smaller than the sum of its proper divisors (25560360).

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

10938564 is a wasteful number, since it uses less digits than its factorization.

10938564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10938564 is about 3307.3499965985. The cubic root of 10938564 is about 221.9831981440.

The spelling of 10938564 in words is "ten million, nine hundred thirty-eight thousand, five hundred sixty-four".