93329968 has 40 divisors (see below), whose sum is σ = 187130880. Its totient is φ = 45065280.

The previous prime is 93329927. The next prime is 93329969. The reversal of 93329968 is 86992339.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (93329969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58623 + ... + 60193.

It is an arithmetic number, because the mean of its divisors is an integer number (4678272).

Almost surely, 2^93329968 is an apocalyptic number.

It is an amenable number.

93329968 is an abundant number, since it is smaller than the sum of its proper divisors (93800912).

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

93329968 is a wasteful number, since it uses less digits than its factorization.

93329968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1699 counting only the distinct ones).

The product of its digits is 629856, while the sum is 49.

The square root of 93329968 is about 9660.7436566757. The cubic root of 93329968 is about 453.6006890842.

The spelling of 93329968 in words is "ninety-three million, three hundred twenty-nine thousand, nine hundred sixty-eight".