10405664 has 24 divisors (see below), whose sum is σ = 21194460. Its totient is φ = 5022976.

The previous prime is 10405663. The next prime is 10405667. The reversal of 10405664 is 46650401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9610000 + 795664 = 3100^2 + 892^2 .

It is not an unprimeable number, because it can be changed into a prime (10405663) 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 3 ways as a sum of consecutive naturals, for example, 4679 + ... + 6534.

Almost surely, 2^10405664 is an apocalyptic number.

It is an amenable number.

10405664 is an abundant number, since it is smaller than the sum of its proper divisors (10788796).

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

10405664 is a wasteful number, since it uses less digits than its factorization.

10405664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11252 (or 11244 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 10405664 is about 3225.7811457072. The cubic root of 10405664 is about 218.3181953777.

The spelling of 10405664 in words is "ten million, four hundred five thousand, six hundred sixty-four".