93106080 has 288 divisors, whose sum is σ = 346731840. Its totient is φ = 22671360.

The previous prime is 93106049. The next prime is 93106087. The reversal of 93106080 is 8060139.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93106087) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1121719 + ... + 1121801.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^93106080 is an apocalyptic number.

93106080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

93106080 is an abundant number, since it is smaller than the sum of its proper divisors (253625760).

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

93106080 is a wasteful number, since it uses less digits than its factorization.

93106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 93106080 is about 9649.1491852909. The cubic root of 93106080 is about 453.2376864726.

The spelling of 93106080 in words is "ninety-three million, one hundred six thousand, eighty".