10404576 has 144 divisors (see below), whose sum is σ = 36507744. Its totient is φ = 2737152.

The previous prime is 10404517. The next prime is 10404593. The reversal of 10404576 is 67540401.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 26010 + ... + 26406.

It is an arithmetic number, because the mean of its divisors is an integer number (253526).

Almost surely, 2^10404576 is an apocalyptic number.

10404576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18253872).

10404576 is an abundant number, since it is smaller than the sum of its proper divisors (26103168).

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

10404576 is a wasteful number, since it uses less digits than its factorization.

10404576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10404576 is about 3225.6124999758. The cubic root of 10404576 is about 218.3105861092.

Adding to 10404576 its reverse (67540401), we get a palindrome (77944977).

It can be divided in two parts, 10404 and 576, that multiplied together give a square (5992704 = 2448²).

The spelling of 10404576 in words is "ten million, four hundred four thousand, five hundred seventy-six".