10355264 has 28 divisors (see below), whose sum is σ = 21108924. Its totient is φ = 5036544.

The previous prime is 10355263. The next prime is 10355309. The reversal of 10355264 is 46255301.

It can be written as a sum of positive squares in 2 ways, for example, as 7795264 + 2560000 = 2792^2 + 1600^2 .

It is a super-3 number, since 3×10355264³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10355263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 4554.

Almost surely, 2^10355264 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 10355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10554462).

10355264 is an abundant number, since it is smaller than the sum of its proper divisors (10753660).

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

10355264 is an equidigital number, since it uses as much as digits as its factorization.

10355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 10355264 is about 3217.9596019838. The cubic root of 10355264 is about 217.9651488770.

The spelling of 10355264 in words is "ten million, three hundred fifty-five thousand, two hundred sixty-four".