1827840 has 176 divisors, whose sum is σ = 7074432. Its totient is φ = 393216.

The previous prime is 1827829. The next prime is 1827863. The reversal of 1827840 is 487281.

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 = 1827798 and 1827807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107512 + ... + 107528.

2^1827840 is an apocalyptic number.

1827840 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 1827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537216).

1827840 is an abundant number, since it is smaller than the sum of its proper divisors (5246592).

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

1827840 is a wasteful number, since it uses less digits than its factorization.

1827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1827840 is about 1351.9763311538. The cubic root of 1827840 is about 122.2679767476.

The spelling of 1827840 in words is "one million, eight hundred twenty-seven thousand, eight hundred forty".