1986271872 has 192 divisors, whose sum is σ = 5781980160. Its totient is φ = 603832320.

The previous prime is 1986271843. The next prime is 1986271877. The reversal of 1986271872 is 2781726891.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1986271877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8241672 + ... + 8241912.

It is an arithmetic number, because the mean of its divisors is an integer number (30114480).

Almost surely, 2^1986271872 is an apocalyptic number.

1986271872 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 1986271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890990080).

1986271872 is an abundant number, since it is smaller than the sum of its proper divisors (3795708288).

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

1986271872 is a wasteful number, since it uses less digits than its factorization.

1986271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 386 counting only the distinct ones).

The product of its digits is 677376, while the sum is 51.

The square root of 1986271872 is about 44567.6101221504. The cubic root of 1986271872 is about 1257.0317026476.

The spelling of 1986271872 in words is "one billion, nine hundred eighty-six million, two hundred seventy-one thousand, eight hundred seventy-two".