93382416 has 160 divisors (see below), whose sum is σ = 292044800. Its totient is φ = 28460160.

The previous prime is 93382381. The next prime is 93382441. The reversal of 93382416 is 61428339.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 254265 + ... + 254631.

It is an arithmetic number, because the mean of its divisors is an integer number (1825280).

Almost surely, 2^93382416 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 93382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146022400).

93382416 is an abundant number, since it is smaller than the sum of its proper divisors (198662384).

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

93382416 is a wasteful number, since it uses less digits than its factorization.

93382416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 93382416 is about 9663.4577662450. The cubic root of 93382416 is about 453.6856421255.

The spelling of 93382416 in words is "ninety-three million, three hundred eighty-two thousand, four hundred sixteen".