93586816 has 64 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 44104192.

The previous prime is 93586813. The next prime is 93586841. The reversal of 93586816 is 61868539.

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

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93586811) 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, 244161 + ... + 244543.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^93586816 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 93586816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

93586816 is an abundant number, since it is smaller than the sum of its proper divisors (103819904).

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

93586816 is a wasteful number, since it uses less digits than its factorization.

93586816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 93586816 is about 9674.0279098212. The cubic root of 93586816 is about 454.0164173457.

The spelling of 93586816 in words is "ninety-three million, five hundred eighty-six thousand, eight hundred sixteen".