93966336 has 78 divisors (see below), whose sum is σ = 271531650. Its totient is φ = 31309824.

The previous prime is 93966319. The next prime is 93966377. The reversal of 93966336 is 63366939.

93966336 is a `hidden beast` number, since 9 + 3 + 9 + 6 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92160000 + 1806336 = 9600^2 + 1344^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 93966291 and 93966300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35590 + ... + 38138.

It is an arithmetic number, because the mean of its divisors is an integer number (3481175).

Almost surely, 2^93966336 is an apocalyptic number.

93966336 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 93966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135765825).

93966336 is an abundant number, since it is smaller than the sum of its proper divisors (177565314).

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

93966336 is a wasteful number, since it uses less digits than its factorization.

93966336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2554 counting only the distinct ones).

The product of its digits is 472392, while the sum is 45.

The square root of 93966336 is about 9693.6234711278. The cubic root of 93966336 is about 454.6293096397.

The spelling of 93966336 in words is "ninety-three million, nine hundred sixty-six thousand, three hundred thirty-six".