93329712 has 120 divisors (see below), whose sum is σ = 311698800. Its totient is φ = 26659584.

The previous prime is 93329707. The next prime is 93329759. The reversal of 93329712 is 21792339.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 18964 + ... + 23372.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^93329712 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 93329712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155849400).

93329712 is an abundant number, since it is smaller than the sum of its proper divisors (218369088).

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

93329712 is a wasteful number, since it uses less digits than its factorization.

93329712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440 (or 4421 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 93329712 is about 9660.7304071690. The cubic root of 93329712 is about 453.6002743483.

It can be divided in two parts, 9332 and 9712, that added together give a square (19044 = 138²).

The spelling of 93329712 in words is "ninety-three million, three hundred twenty-nine thousand, seven hundred twelve".