10575642 has 48 divisors (see below), whose sum is σ = 26582976. Its totient is φ = 2745600.

The previous prime is 10575641. The next prime is 10575659. The reversal of 10575642 is 24657501.

10575642 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 2×10575642² = 223688407424328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10575641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4042 + ... + 6122.

It is an arithmetic number, because the mean of its divisors is an integer number (553812).

Almost surely, 2^10575642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10575642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13291488).

10575642 is an abundant number, since it is smaller than the sum of its proper divisors (16007334).

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

10575642 is a wasteful number, since it uses less digits than its factorization.

10575642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 10575642 is about 3252.0212176430. The cubic root of 10575642 is about 219.5005335853.

The spelling of 10575642 in words is "ten million, five hundred seventy-five thousand, six hundred forty-two".