1828764 has 96 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 501120.

The previous prime is 1828763. The next prime is 1828781. The reversal of 1828764 is 4678281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (21504) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30967 + ... + 31025.

It is an arithmetic number, because the mean of its divisors is an integer number (58800).

2^1828764 is an apocalyptic number.

1828764 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 1828764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

1828764 is an abundant number, since it is smaller than the sum of its proper divisors (3816036).

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

1828764 is a wasteful number, since it uses less digits than its factorization.

1828764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1828764 is about 1352.3180099370. The cubic root of 1828764 is about 122.2885760303.

It can be divided in two parts, 18 and 28764, that added together give a palindrome (28782).

The spelling of 1828764 in words is "one million, eight hundred twenty-eight thousand, seven hundred sixty-four".