1827811840 has 160 divisors (see below), whose sum is σ = 4702199040. Its totient is φ = 679624704.

The previous prime is 1827811829. The next prime is 1827811841. The reversal of 1827811840 is 481187281.

1827811840 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1827811840² = 6681792244888371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1827811793 and 1827811802.

It is not an unprimeable number, because it can be changed into a prime (1827811841) 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, 2178141 + ... + 2178979.

It is an arithmetic number, because the mean of its divisors is an integer number (29388744).

Almost surely, 2^1827811840 is an apocalyptic number.

1827811840 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 1827811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351099520).

1827811840 is an abundant number, since it is smaller than the sum of its proper divisors (2874387200).

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

1827811840 is an equidigital number, since it uses as much as digits as its factorization.

1827811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The square root of 1827811840 is about 42752.9161578482. The cubic root of 1827811840 is about 1222.6734885093.

The spelling of 1827811840 in words is "one billion, eight hundred twenty-seven million, eight hundred eleven thousand, eight hundred forty".