10826406 has 32 divisors (see below), whose sum is σ = 24230880. Its totient is φ = 3583008.

The previous prime is 10826393. The next prime is 10826429. The reversal of 10826406 is 60462801.

10826406 = T₄₇₆ + T₄₇₇ + ... + T₅₅₆.

10826406 is a `hidden beast` number, since 10 + 8 + 2 + 640 + 6 = 666.

It is a super-2 number, since 2×10826406² = 234422133753672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10826406.

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 15 ways as a sum of consecutive naturals, for example, 7840 + ... + 9116.

It is an arithmetic number, because the mean of its divisors is an integer number (757215).

Almost surely, 2^10826406 is an apocalyptic number.

10826406 is an abundant number, since it is smaller than the sum of its proper divisors (13404474).

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

10826406 is a wasteful number, since it uses less digits than its factorization.

10826406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10826406 is about 3290.3504372635. The cubic root of 10826406 is about 221.2218924363.

The spelling of 10826406 in words is "ten million, eight hundred twenty-six thousand, four hundred six".