1671681888 has 120 divisors (see below), whose sum is σ = 4930556400. Its totient is φ = 555621120.

The previous prime is 1671681839. The next prime is 1671681911. The reversal of 1671681888 is 8881861761.

1671681888 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1194213 + ... + 1195611.

It is an arithmetic number, because the mean of its divisors is an integer number (41087970).

Almost surely, 2^1671681888 is an apocalyptic number.

1671681888 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 1671681888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465278200).

1671681888 is an abundant number, since it is smaller than the sum of its proper divisors (3258874512).

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

1671681888 is a wasteful number, since it uses less digits than its factorization.

1671681888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1865 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 54.

The square root of 1671681888 is about 40886.2065738557. The cubic root of 1671681888 is about 1186.8191511047.

The spelling of 1671681888 in words is "one billion, six hundred seventy-one million, six hundred eighty-one thousand, eight hundred eighty-eight".