1827113340 has 384 divisors, whose sum is σ = 6195732480. Its totient is φ = 398131200.

The previous prime is 1827113311. The next prime is 1827113341. The reversal of 1827113340 is 433117281.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1827113298 and 1827113307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827113341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18836172 + ... + 18836268.

It is an arithmetic number, because the mean of its divisors is an integer number (16134720).

Almost surely, 2^1827113340 is an apocalyptic number.

1827113340 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 1827113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097866240).

1827113340 is an abundant number, since it is smaller than the sum of its proper divisors (4368619140).

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

1827113340 is a wasteful number, since it uses less digits than its factorization.

1827113340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1827113340 is about 42744.7463438491. The cubic root of 1827113340 is about 1222.5177200605.

The spelling of 1827113340 in words is "one billion, eight hundred twenty-seven million, one hundred thirteen thousand, three hundred forty".