10435264 has 28 divisors (see below), whose sum is σ = 23666704. Its totient is φ = 4472064.

The previous prime is 10435259. The next prime is 10435289. The reversal of 10435264 is 46253401.

10435264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11199 + ... + 12094.

Almost surely, 2^10435264 is an apocalyptic number.

10435264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10435264 is an abundant number, since it is smaller than the sum of its proper divisors (13231440).

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

10435264 is an equidigital number, since it uses as much as digits as its factorization.

10435264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23312 (or 23302 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 10435264 is about 3230.3659235449. The cubic root of 10435264 is about 218.5250090503.

Adding to 10435264 its reverse (46253401), we get a palindrome (56688665).

The spelling of 10435264 in words is "ten million, four hundred thirty-five thousand, two hundred sixty-four".