93838080 has 144 divisors (see below), whose sum is σ = 342607104. Its totient is φ = 21442560.

The previous prime is 93838067. The next prime is 93838103. The reversal of 93838080 is 8083839.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25135 + ... + 28625.

It is an arithmetic number, because the mean of its divisors is an integer number (2379216).

Almost surely, 2^93838080 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 93838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171303552).

93838080 is an abundant number, since it is smaller than the sum of its proper divisors (248769024).

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

93838080 is a wasteful number, since it uses less digits than its factorization.

93838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 93838080 is about 9687.0057293263. The cubic root of 93838080 is about 454.4223721049.

The spelling of 93838080 in words is "ninety-three million, eight hundred thirty-eight thousand, eighty".