10475264 has 72 divisors (see below), whose sum is σ = 23178960. Its totient is φ = 4702208.

The previous prime is 10475263. The next prime is 10475279. The reversal of 10475264 is 46257401.

10475264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10475263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126167 + ... + 126249.

It is an arithmetic number, because the mean of its divisors is an integer number (321930).

Almost surely, 2^10475264 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 10475264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11589480).

10475264 is an abundant number, since it is smaller than the sum of its proper divisors (12703696).

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

10475264 is an equidigital number, since it uses as much as digits as its factorization.

10475264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 10475264 is about 3236.5512509460. The cubic root of 10475264 is about 218.8038665712.

The spelling of 10475264 in words is "ten million, four hundred seventy-five thousand, two hundred sixty-four".