1881824 has 48 divisors (see below), whose sum is σ = 4386816. Its totient is φ = 777600.

The previous prime is 1881823. The next prime is 1881851. The reversal of 1881824 is 4281881.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1881821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6809 + ... + 7079.

It is an arithmetic number, because the mean of its divisors is an integer number (91392).

2^1881824 is an apocalyptic number.

1881824 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 1881824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193408).

1881824 is an abundant number, since it is smaller than the sum of its proper divisors (2504992).

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

1881824 is a wasteful number, since it uses less digits than its factorization.

1881824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its digits is 4096, while the sum is 32.

The square root of 1881824 is about 1371.7959031868. The cubic root of 1881824 is about 123.4600175446.

The spelling of 1881824 in words is "one million, eight hundred eighty-one thousand, eight hundred twenty-four".