10408564 has 24 divisors (see below), whose sum is σ = 19209960. Its totient is φ = 4927104.

The previous prime is 10408553. The next prime is 10408571. The reversal of 10408564 is 46580401.

It can be written as a sum of positive squares in 4 ways, for example, as 2044900 + 8363664 = 1430^2 + 2892^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5302 + ... + 6994.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 2^10408564 is an apocalyptic number.

It is an amenable number.

10408564 is a deficient number, since it is larger than the sum of its proper divisors (8801396).

10408564 is a wasteful number, since it uses less digits than its factorization.

10408564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 10408564 is about 3226.2306179193. The cubic root of 10408564 is about 218.3384748448.

Adding to 10408564 its reverse (46580401), we get a palindrome (56988965).

It can be divided in two parts, 1040 and 8564, that added together give a square (9604 = 98²).

The spelling of 10408564 in words is "ten million, four hundred eight thousand, five hundred sixty-four".