93049344 has 160 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 30191616.

The previous prime is 93049337. The next prime is 93049349. The reversal of 93049344 is 44394039.

93049344 is a `hidden beast` number, since 9 + 304 + 9 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 93049299 and 93049308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93049349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732609 + ... + 732735.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^93049344 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 93049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

93049344 is an abundant number, since it is smaller than the sum of its proper divisors (189789696).

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

93049344 is a wasteful number, since it uses less digits than its factorization.

93049344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 93049344 is about 9646.2087889492. The cubic root of 93049344 is about 453.1456047008.

The spelling of 93049344 in words is "ninety-three million, forty-nine thousand, three hundred forty-four".