10575768 has 144 divisors (see below), whose sum is σ = 34042680. Its totient is φ = 2720256.

The previous prime is 10575767. The next prime is 10575793. The reversal of 10575768 is 86757501.

10575768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10575768² = 223693737579648, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10575767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459805 + ... + 459827.

Almost surely, 2^10575768 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 10575768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021340).

10575768 is an abundant number, since it is smaller than the sum of its proper divisors (23466912).

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

10575768 is a wasteful number, since it uses less digits than its factorization.

10575768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 10575768 is about 3252.0405901526. The cubic root of 10575768 is about 219.5014053040.

The spelling of 10575768 in words is "ten million, five hundred seventy-five thousand, seven hundred sixty-eight".