1968893892 has 216 divisors, whose sum is σ = 6103397664. Its totient is φ = 553246848.

The previous prime is 1968893891. The next prime is 1968893921. The reversal of 1968893892 is 2983988691.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1968893891) 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, 3190768 + ... + 3191384.

Almost surely, 2^1968893892 is an apocalyptic number.

1968893892 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 1968893892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051698832).

1968893892 is an abundant number, since it is smaller than the sum of its proper divisors (4134503772).

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

1968893892 is a wasteful number, since it uses less digits than its factorization.

1968893892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 696 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The square root of 1968893892 is about 44372.2198227675. The cubic root of 1968893892 is about 1253.3550173239.

The spelling of 1968893892 in words is "one billion, nine hundred sixty-eight million, eight hundred ninety-three thousand, eight hundred ninety-two".