93064000 has 56 divisors (see below), whose sum is σ = 230492808. Its totient is φ = 37222400.

The previous prime is 93063983. The next prime is 93064009. The reversal of 93064000 is 46039.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 91699776 = 1168^2 + 9576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93064009) 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, 2184 + ... + 13816.

It is an arithmetic number, because the mean of its divisors is an integer number (4115943).

Almost surely, 2^93064000 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 93064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115246404).

93064000 is an abundant number, since it is smaller than the sum of its proper divisors (137428808).

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

93064000 is a wasteful number, since it uses less digits than its factorization.

93064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11660 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 93064000 is about 9646.9684357315. The cubic root of 93064000 is about 453.1693947783.

The spelling of 93064000 in words is "ninety-three million, sixty-four thousand".