93729664 has 64 divisors (see below), whose sum is σ = 216476640. Its totient is φ = 39591936.

The previous prime is 93729617. The next prime is 93729667. The reversal of 93729664 is 46692739.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93729667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64692 + ... + 66124.

Almost surely, 2^93729664 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 93729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108238320).

93729664 is an abundant number, since it is smaller than the sum of its proper divisors (122746976).

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

93729664 is a wasteful number, since it uses less digits than its factorization.

93729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1515 counting only the distinct ones).

The product of its digits is 489888, while the sum is 46.

The square root of 93729664 is about 9681.4081620392. The cubic root of 93729664 is about 454.2472987533.

The spelling of 93729664 in words is "ninety-three million, seven hundred twenty-nine thousand, six hundred sixty-four".