93540144 has 80 divisors (see below), whose sum is σ = 256332800. Its totient is φ = 29341440.

The previous prime is 93540143. The next prime is 93540151. The reversal of 93540144 is 44104539.

It is not an unprimeable number, because it can be changed into a prime (93540143) 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 15 ways as a sum of consecutive naturals, for example, 54207 + ... + 55905.

It is an arithmetic number, because the mean of its divisors is an integer number (3204160).

Almost surely, 2^93540144 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 93540144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128166400).

93540144 is an abundant number, since it is smaller than the sum of its proper divisors (162792656).

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

93540144 is a wasteful number, since it uses less digits than its factorization.

93540144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 93540144 is about 9671.6153769678. The cubic root of 93540144 is about 453.9409317215.

The spelling of 93540144 in words is "ninety-three million, five hundred forty thousand, one hundred forty-four".