10827264 has 160 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 2875392.

The previous prime is 10827259. The next prime is 10827269. The reversal of 10827264 is 46272801.

It is an interprime number because it is at equal distance from previous prime (10827259) and next prime (10827269).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10827269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204262 + ... + 204314.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 2^10827264 is an apocalyptic number.

10827264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

10827264 is an abundant number, since it is smaller than the sum of its proper divisors (24527616).

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

10827264 is an equidigital number, since it uses as much as digits as its factorization.

10827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 10827264 is about 3290.4808159295. The cubic root of 10827264 is about 221.2277362768.

It can be divided in two parts, 108 and 27264, that added together give a palindrome (27372).

The spelling of 10827264 in words is "ten million, eight hundred twenty-seven thousand, two hundred sixty-four".