10406564 has 12 divisors (see below), whose sum is σ = 20813184. Its totient is φ = 4459944.

The previous prime is 10406537. The next prime is 10406569. The reversal of 10406564 is 46560401.

It is a happy number.

10406564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10406564 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (10406569) 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, 185804 + ... + 185859.

It is an arithmetic number, because the mean of its divisors is an integer number (1734432).

Almost surely, 2^10406564 is an apocalyptic number.

10406564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10406564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10406564 is a wasteful number, since it uses less digits than its factorization.

10406564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371674 (or 371672 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 10406564 is about 3225.9206437853. The cubic root of 10406564 is about 218.3244894086.

Adding to 10406564 its reverse (46560401), we get a palindrome (56966965).

The spelling of 10406564 in words is "ten million, four hundred six thousand, five hundred sixty-four".