10456506 has 32 divisors (see below), whose sum is σ = 23526720. Its totient is φ = 3442032.

The previous prime is 10456499. The next prime is 10456531. The reversal of 10456506 is 60565401.

It is a happy number.

10456506 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 650 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 10456506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3316 + ... + 5648.

It is an arithmetic number, because the mean of its divisors is an integer number (735210).

Almost surely, 2^10456506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10456506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11763360).

10456506 is an abundant number, since it is smaller than the sum of its proper divisors (13070214).

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

10456506 is a wasteful number, since it uses less digits than its factorization.

10456506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 10456506 is about 3233.6521148695. The cubic root of 10456506 is about 218.6731848931.

The spelling of 10456506 in words is "ten million, four hundred fifty-six thousand, five hundred six".