1986461568 has 288 divisors, whose sum is σ = 7163661960. Its totient is φ = 523708416.

The previous prime is 1986461549. The next prime is 1986461579. The reversal of 1986461568 is 8651646891.

1986461568 is a `hidden beast` number, since 19 + 8 + 6 + 4 + 61 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1986461568² = 7892059122282037248, 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 732471 + ... + 735177.

Almost surely, 2^1986461568 is an apocalyptic number.

1986461568 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 1986461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581830980).

1986461568 is an abundant number, since it is smaller than the sum of its proper divisors (5177200392).

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

1986461568 is a wasteful number, since it uses less digits than its factorization.

1986461568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2732 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1986461568 is about 44569.7382536627. The cubic root of 1986461568 is about 1257.0717183673.

The spelling of 1986461568 in words is "one billion, nine hundred eighty-six million, four hundred sixty-one thousand, five hundred sixty-eight".