93378144 has 96 divisors (see below), whose sum is σ = 268621920. Its totient is φ = 28270592.

The previous prime is 93378139. The next prime is 93378167. The reversal of 93378144 is 44187339.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 46342 + ... + 48314.

It is an arithmetic number, because the mean of its divisors is an integer number (2798145).

Almost surely, 2^93378144 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 93378144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134310960).

93378144 is an abundant number, since it is smaller than the sum of its proper divisors (175243776).

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

93378144 is a wasteful number, since it uses less digits than its factorization.

93378144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2024 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 93378144 is about 9663.2367248247. The cubic root of 93378144 is about 453.6787237116.

The spelling of 93378144 in words is "ninety-three million, three hundred seventy-eight thousand, one hundred forty-four".