10575504 has 45 divisors (see below), whose sum is σ = 29706339. Its totient is φ = 3512160.

The previous prime is 10575473. The next prime is 10575529. The reversal of 10575504 is 40557501.

The square root of 10575504 is 3252.

It is a perfect power (a square), and thus also a powerful number.

10575504 is a `hidden beast` number, since 105 + 7 + 550 + 4 = 666.

It is a super-3 number, since 3×10575504³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38889 + ... + 39159.

Almost surely, 2^10575504 is an apocalyptic number.

10575504 is the 3252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10575504

10575504 is an abundant number, since it is smaller than the sum of its proper divisors (19130835).

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

10575504 is an equidigital number, since it uses as much as digits as its factorization.

10575504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The cubic root of 10575504 is about 219.4995788377.

It can be divided in two parts, 1057 and 5504, that added together give a 8-th power (6561 = 3⁸).

The spelling of 10575504 in words is "ten million, five hundred seventy-five thousand, five hundred four".