10575648 has 36 divisors (see below), whose sum is σ = 30075318. Its totient is φ = 3525120.

The previous prime is 10575641. The next prime is 10575659. The reversal of 10575648 is 84657501.

10575648 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 5 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10575504 + 144 = 3252^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10575648² = 223688661239808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 18073 + ... + 18648.

Almost surely, 2^10575648 is an apocalyptic number.

10575648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10575648 is an abundant number, since it is smaller than the sum of its proper divisors (19499670).

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

10575648 is a wasteful number, since it uses less digits than its factorization.

10575648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36737 (or 36726 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 10575648 is about 3252.0221401460. The cubic root of 10575648 is about 219.5005750958.

The spelling of 10575648 in words is "ten million, five hundred seventy-five thousand, six hundred forty-eight".