1881648 has 60 divisors (see below), whose sum is σ = 5367960. Its totient is φ = 615168.

The previous prime is 1881641. The next prime is 1881697. The reversal of 1881648 is 8461881.

1881648 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 648 = 666.

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

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1881641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10423 + ... + 10601.

It is an arithmetic number, because the mean of its divisors is an integer number (89466).

2^1881648 is an apocalyptic number.

1881648 is a gapful number since it is divisible by the number (18) 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 1881648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683980).

1881648 is an abundant number, since it is smaller than the sum of its proper divisors (3486312).

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

1881648 is a wasteful number, since it uses less digits than its factorization.

1881648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 1881648 is about 1371.7317522023. The cubic root of 1881648 is about 123.4561685058.

The spelling of 1881648 in words is "one million, eight hundred eighty-one thousand, six hundred forty-eight".