10819264 has 28 divisors (see below), whose sum is σ = 21781008. Its totient is φ = 5331200.

The previous prime is 10819253. The next prime is 10819267. The reversal of 10819264 is 46291801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10819267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3354 + ... + 5734.

Almost surely, 2^10819264 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 10819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890504).

10819264 is an abundant number, since it is smaller than the sum of its proper divisors (10961744).

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

10819264 is an equidigital number, since it uses as much as digits as its factorization.

10819264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10819264 is about 3289.2649634835. The cubic root of 10819264 is about 221.1732362676.

The spelling of 10819264 in words is "ten million, eight hundred nineteen thousand, two hundred sixty-four".