93449664 has 336 divisors, whose sum is σ = 348691200. Its totient is φ = 23708160.

The previous prime is 93449659. The next prime is 93449669. The reversal of 93449664 is 46694439.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (93449659) and next prime (93449669).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93449669) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2173227 + ... + 2173269.

Almost surely, 2^93449664 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 93449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174345600).

93449664 is an abundant number, since it is smaller than the sum of its proper divisors (255241536).

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

93449664 is a wasteful number, since it uses less digits than its factorization.

93449664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 93449664 is about 9666.9366399082. The cubic root of 93449664 is about 453.7945210510.

The spelling of 93449664 in words is "ninety-three million, four hundred forty-nine thousand, six hundred sixty-four".