10585408 has 14 divisors (see below), whose sum is σ = 21005546. Its totient is φ = 5292672.

The previous prime is 10585363. The next prime is 10585409. The reversal of 10585408 is 80458501.

It can be written as a sum of positive squares in only one way, i.e., 5531904 + 5053504 = 2352^2 + 2248^2 .

It is a super-2 number, since 2×10585408² = 224101725052928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10585408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82635 + ... + 82762.

Almost surely, 2^10585408 is an apocalyptic number.

It is an amenable number.

10585408 is a deficient number, since it is larger than the sum of its proper divisors (10420138).

10585408 is an equidigital number, since it uses as much as digits as its factorization.

10585408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165409 (or 165399 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 10585408 is about 3253.5223988779. The cubic root of 10585408 is about 219.5680781909.

It can be divided in two parts, 1058 and 5408, that multiplied together give a square (5721664 = 2392²).

The spelling of 10585408 in words is "ten million, five hundred eighty-five thousand, four hundred eight".