10164456 has 48 divisors (see below), whose sum is σ = 27892800. Its totient is φ = 3343392.

The previous prime is 10164439. The next prime is 10164457. The reversal of 10164456 is 65446101.

10164456 is a `hidden beast` number, since 10 + 1 + 644 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (10164457) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4795 + ... + 6581.

It is an arithmetic number, because the mean of its divisors is an integer number (581100).

Almost surely, 2^10164456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13946400).

10164456 is an abundant number, since it is smaller than the sum of its proper divisors (17728344).

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

10164456 is a wasteful number, since it uses less digits than its factorization.

10164456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10164456 is about 3188.1743992448. The cubic root of 10164456 is about 216.6180856234.

The spelling of 10164456 in words is "ten million, one hundred sixty-four thousand, four hundred fifty-six".