1889491968 has 352 divisors, whose sum is σ = 6896261120. Its totient is φ = 497664000.

The previous prime is 1889491927. The next prime is 1889492009. The reversal of 1889491968 is 8691949881.

1889491968 is a `hidden beast` number, since 1 + 8 + 89 + 491 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1889491927) and next prime (1889492009).

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

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2515593 + ... + 2516343.

Almost surely, 2^1889491968 is an apocalyptic number.

1889491968 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 1889491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448130560).

1889491968 is an abundant number, since it is smaller than the sum of its proper divisors (5006769152).

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

1889491968 is a wasteful number, since it uses less digits than its factorization.

1889491968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 776 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The square root of 1889491968 is about 43468.2869227670. The cubic root of 1889491968 is about 1236.2747998663.

The spelling of 1889491968 in words is "one billion, eight hundred eighty-nine million, four hundred ninety-one thousand, nine hundred sixty-eight".