933726816 has 144 divisors (see below), whose sum is σ = 2958778368. Its totient is φ = 276883200.

The previous prime is 933726803. The next prime is 933726841. The reversal of 933726816 is 618627339.

933726816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145761 + ... + 152031.

It is an arithmetic number, because the mean of its divisors is an integer number (20547072).

Almost surely, 2^933726816 is an apocalyptic number.

933726816 is a gapful number since it is divisible by the number (96) 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 933726816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479389184).

933726816 is an abundant number, since it is smaller than the sum of its proper divisors (2025051552).

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

933726816 is a wasteful number, since it uses less digits than its factorization.

933726816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6334 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 933726816 is about 30556.9438262402. The cubic root of 933726816 is about 977.4021211816.

The spelling of 933726816 in words is "nine hundred thirty-three million, seven hundred twenty-six thousand, eight hundred sixteen".