1986133968 has 360 divisors, whose sum is σ = 7009104960. Its totient is φ = 513976320.

The previous prime is 1986133967. The next prime is 1986134047. The reversal of 1986133968 is 8693316891.

1986133968 is a `hidden beast` number, since 19 + 8 + 613 + 3 + 9 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1986133967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15161263 + ... + 15161393.

It is an arithmetic number, because the mean of its divisors is an integer number (19469736).

Almost surely, 2^1986133968 is an apocalyptic number.

1986133968 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 1986133968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504552480).

1986133968 is an abundant number, since it is smaller than the sum of its proper divisors (5022970992).

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

1986133968 is a wasteful number, since it uses less digits than its factorization.

1986133968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 245 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 1986133968 is about 44566.0629627523. The cubic root of 1986133968 is about 1257.0026106731.

The spelling of 1986133968 in words is "one billion, nine hundred eighty-six million, one hundred thirty-three thousand, nine hundred sixty-eight".