93468144 has 200 divisors, whose sum is σ = 319523200. Its totient is φ = 22999680.

The previous prime is 93468143. The next prime is 93468157. The reversal of 93468144 is 44186439.

It is a happy number.

Its product of digits (82944) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93468143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4919367 + ... + 4919385.

It is an arithmetic number, because the mean of its divisors is an integer number (1597616).

Almost surely, 2^93468144 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 93468144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159761600).

93468144 is an abundant number, since it is smaller than the sum of its proper divisors (226055056).

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

93468144 is a wasteful number, since it uses less digits than its factorization.

93468144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 93468144 is about 9667.8924280321. The cubic root of 93468144 is about 453.8244322341.

The spelling of 93468144 in words is "ninety-three million, four hundred sixty-eight thousand, one hundred forty-four".