93066720 has 96 divisors (see below), whose sum is σ = 300373920. Its totient is φ = 24207360.

The previous prime is 93066709. The next prime is 93066767. The reversal of 93066720 is 2766039.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×93066720² = 17322828743116800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17316 + ... + 22044.

It is an arithmetic number, because the mean of its divisors is an integer number (3128895).

Almost surely, 2^93066720 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 93066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150186960).

93066720 is an abundant number, since it is smaller than the sum of its proper divisors (207307200).

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

93066720 is a wasteful number, since it uses less digits than its factorization.

93066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 93066720 is about 9647.1094116321. The cubic root of 93066720 is about 453.1738096926.

The spelling of 93066720 in words is "ninety-three million, sixty-six thousand, seven hundred twenty".