1871983872 has 360 divisors, whose sum is σ = 6321601440. Its totient is φ = 545771520.

The previous prime is 1871983871. The next prime is 1871983913. The reversal of 1871983872 is 2783891781.

It is a happy number.

It is a super-2 number, since 2×1871983872² = 7008647234056224768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1871983871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6614643 + ... + 6614925.

It is an arithmetic number, because the mean of its divisors is an integer number (17560004).

Almost surely, 2^1871983872 is an apocalyptic number.

1871983872 is a gapful number since it is divisible by the number (12) 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 1871983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160800720).

1871983872 is an abundant number, since it is smaller than the sum of its proper divisors (4449617568).

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

1871983872 is a wasteful number, since it uses less digits than its factorization.

1871983872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 1871983872 is about 43266.4289259005. The cubic root of 1871983872 is about 1232.4444902017. Note that the first 4 decimals are identical.

The spelling of 1871983872 in words is "one billion, eight hundred seventy-one million, nine hundred eighty-three thousand, eight hundred seventy-two".