1815264 has 96 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 547200.

The previous prime is 1815259. The next prime is 1815269. The reversal of 1815264 is 4625181.

It is an interprime number because it is at equal distance from previous prime (1815259) and next prime (1815269).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1815269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9409 + ... + 9599.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2^1815264 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 1815264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

1815264 is an abundant number, since it is smaller than the sum of its proper divisors (3990816).

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

1815264 is a wasteful number, since it uses less digits than its factorization.

1815264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1815264 is about 1347.3173345578. The cubic root of 1815264 is about 121.9869196762.

It can be divided in two parts, 181 and 5264, that added together give a palindrome (5445).

The spelling of 1815264 in words is "one million, eight hundred fifteen thousand, two hundred sixty-four".