1827264 has 56 divisors (see below), whose sum is σ = 5006848. Its totient is φ = 587520.

The previous prime is 1827257. The next prime is 1827269. The reversal of 1827264 is 4627281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5799 + ... + 6105.

It is an arithmetic number, because the mean of its divisors is an integer number (89408).

2^1827264 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 1827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503424).

1827264 is an abundant number, since it is smaller than the sum of its proper divisors (3179584).

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

1827264 is a wasteful number, since it uses less digits than its factorization.

1827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

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

The square root of 1827264 is about 1351.7632928882. The cubic root of 1827264 is about 122.2551321234.

It can be divided in two parts, 18272 and 64, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 1827264 in words is "one million, eight hundred twenty-seven thousand, two hundred sixty-four".