93248064 has 224 divisors, whose sum is σ = 337962240. Its totient is φ = 24551424.

The previous prime is 93248033. The next prime is 93248117. The reversal of 93248064 is 46084239.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156952 + ... + 157544.

It is an arithmetic number, because the mean of its divisors is an integer number (1508760).

Almost surely, 2^93248064 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 93248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168981120).

93248064 is an abundant number, since it is smaller than the sum of its proper divisors (244714176).

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

93248064 is a wasteful number, since it uses less digits than its factorization.

93248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 93248064 is about 9656.5037151135. The cubic root of 93248064 is about 453.4679607844.

The spelling of 93248064 in words is "ninety-three million, two hundred forty-eight thousand, sixty-four".