93417984 has 240 divisors, whose sum is σ = 312792480. Its totient is φ = 26542080.

The previous prime is 93417979. The next prime is 93417997. The reversal of 93417984 is 48971439.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963024 + ... + 963120.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 2^93417984 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 93417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

93417984 is an abundant number, since it is smaller than the sum of its proper divisors (219374496).

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

93417984 is a wasteful number, since it uses less digits than its factorization.

93417984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 93417984 is about 9665.2979260859. The cubic root of 93417984 is about 453.7432355616.

The spelling of 93417984 in words is "ninety-three million, four hundred seventeen thousand, nine hundred eighty-four".