93826368 has 168 divisors, whose sum is σ = 287075880. Its totient is φ = 29245440.

The previous prime is 93826321. The next prime is 93826373. The reversal of 93826368 is 86362839.

93826368 is a `hidden beast` number, since 9 + 3 + 8 + 2 + 636 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 91240704 = 1608^2 + 9552^2 .

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 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 23 ways as a sum of consecutive naturals, for example, 684796 + ... + 684932.

It is an arithmetic number, because the mean of its divisors is an integer number (1708785).

Almost surely, 2^93826368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143537940).

93826368 is an abundant number, since it is smaller than the sum of its proper divisors (193249512).

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

93826368 is a wasteful number, since it uses less digits than its factorization.

93826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 93826368 is about 9686.4011892963. The cubic root of 93826368 is about 454.4034657211.

The spelling of 93826368 in words is "ninety-three million, eight hundred twenty-six thousand, three hundred sixty-eight".