10419264 has 42 divisors (see below), whose sum is σ = 29866590. Its totient is φ = 3472896.

The previous prime is 10419263. The next prime is 10419281. The reversal of 10419264 is 46291401.

10419264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 230400 = 3192^2 + 480^2 .

It is a super-2 number, since 2×10419264² = 217122124603392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10419263) 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, 8469 + ... + 9620.

Almost surely, 2^10419264 is an apocalyptic number.

It is an amenable number.

10419264 is an abundant number, since it is smaller than the sum of its proper divisors (19447326).

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

10419264 is a wasteful number, since it uses less digits than its factorization.

10419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18107 (or 18094 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10419264 is about 3227.8884739098. Note that the first 3 decimals coincide. The cubic root of 10419264 is about 218.4132665129.

The spelling of 10419264 in words is "ten million, four hundred nineteen thousand, two hundred sixty-four".