1993826016 has 480 divisors, whose sum is σ = 7376624640. Its totient is φ = 514335744.

The previous prime is 1993825997. The next prime is 1993826033. The reversal of 1993826016 is 6106283991.

It is a happy number.

1993826016 is a `hidden beast` number, since 1 + 9 + 9 + 38 + 2 + 601 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 18633835 + ... + 18633941.

It is an arithmetic number, because the mean of its divisors is an integer number (15367968).

Almost surely, 2^1993826016 is an apocalyptic number.

1993826016 is a gapful number since it is divisible by the number (16) 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 1993826016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688312320).

1993826016 is an abundant number, since it is smaller than the sum of its proper divisors (5382798624).

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

1993826016 is a wasteful number, since it uses less digits than its factorization.

1993826016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1993826016 is about 44652.2789563982. The cubic root of 1993826016 is about 1258.6232581526.

It can be divided in two parts, 19938 and 26016, that added together give a palindrome (45954).

The spelling of 1993826016 in words is "one billion, nine hundred ninety-three million, eight hundred twenty-six thousand, sixteen".