93461144 has 64 divisors (see below), whose sum is σ = 210816000. Its totient is φ = 37977984.

The previous prime is 93461143. The next prime is 93461161. The reversal of 93461144 is 44116439.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 93461144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93461141) by changing a digit.

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, 191669 + ... + 192155.

It is an arithmetic number, because the mean of its divisors is an integer number (3294000).

Almost surely, 2^93461144 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 93461144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105408000).

93461144 is an abundant number, since it is smaller than the sum of its proper divisors (117354856).

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

93461144 is a wasteful number, since it uses less digits than its factorization.

93461144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 93461144 is about 9667.5303981937. The cubic root of 93461144 is about 453.8131027044.

The spelling of 93461144 in words is "ninety-three million, four hundred sixty-one thousand, one hundred forty-four".