93918880 has 192 divisors, whose sum is σ = 265845888. Its totient is φ = 30965760.

The previous prime is 93918859. The next prime is 93918883. The reversal of 93918880 is 8881939.

It is a self number, because there is not a number n which added to its sum of digits gives 93918880.

It is not an unprimeable number, because it can be changed into a prime (93918883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1286524 + ... + 1286596.

It is an arithmetic number, because the mean of its divisors is an integer number (1384614).

Almost surely, 2^93918880 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 93918880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132922944).

93918880 is an abundant number, since it is smaller than the sum of its proper divisors (171927008).

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

93918880 is a wasteful number, since it uses less digits than its factorization.

93918880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The square root of 93918880 is about 9691.1753673123. The cubic root of 93918880 is about 454.5527626461.

The spelling of 93918880 in words is "ninety-three million, nine hundred eighteen thousand, eight hundred eighty".