1893811968 has 288 divisors, whose sum is σ = 6039774720. Its totient is φ = 583188480.

The previous prime is 1893811967. The next prime is 1893811993. The reversal of 1893811968 is 8691183981.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (1893811967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8342671 + ... + 8342897.

It is an arithmetic number, because the mean of its divisors is an integer number (20971440).

Almost surely, 2^1893811968 is an apocalyptic number.

1893811968 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 1893811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019887360).

1893811968 is an abundant number, since it is smaller than the sum of its proper divisors (4145962752).

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

1893811968 is a wasteful number, since it uses less digits than its factorization.

1893811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 320 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The square root of 1893811968 is about 43517.9499517153. The cubic root of 1893811968 is about 1237.2162596491.

The spelling of 1893811968 in words is "one billion, eight hundred ninety-three million, eight hundred eleven thousand, nine hundred sixty-eight".