1828980 has 60 divisors (see below), whose sum is σ = 5742660. Its totient is φ = 487296.

The previous prime is 1828973. The next prime is 1828993. The reversal of 1828980 is 898281.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 1454436 = 612^2 + 1206^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1056 + ... + 2184.

It is an arithmetic number, because the mean of its divisors is an integer number (95711).

2^1828980 is an apocalyptic number.

1828980 is a gapful number since it is divisible by the number (10) 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 1828980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871330).

1828980 is an abundant number, since it is smaller than the sum of its proper divisors (3913680).

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

1828980 is a wasteful number, since it uses less digits than its factorization.

1828980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1828980 is about 1352.3978704509. The cubic root of 1828980 is about 122.2933904464.

1828980 divided by its sum of digits (36) gives a palindrome (50805).

The spelling of 1828980 in words is "one million, eight hundred twenty-eight thousand, nine hundred eighty".