1933626816 has 336 divisors, whose sum is σ = 6390558720. Its totient is φ = 574801920.

The previous prime is 1933626811. The next prime is 1933626817. The reversal of 1933626816 is 6186263391.

1933626816 is a `hidden beast` number, since 1 + 9 + 3 + 3 + 626 + 8 + 16 = 666.

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 (1933626811) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15225345 + ... + 15225471.

It is an arithmetic number, because the mean of its divisors is an integer number (19019520).

Almost surely, 2^1933626816 is an apocalyptic number.

1933626816 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 1933626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195279360).

1933626816 is an abundant number, since it is smaller than the sum of its proper divisors (4456931904).

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

1933626816 is a wasteful number, since it uses less digits than its factorization.

1933626816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1933626816 is about 43973.0237304646. The cubic root of 1933626816 is about 1245.8264682279.

The spelling of 1933626816 in words is "one billion, nine hundred thirty-three million, six hundred twenty-six thousand, eight hundred sixteen".