60018144 has 96 divisors (see below), whose sum is σ = 165051936. Its totient is φ = 19077120.

The previous prime is 60018113. The next prime is 60018149. The reversal of 60018144 is 44181006.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60018149) 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, 216534 + ... + 216810.

It is an arithmetic number, because the mean of its divisors is an integer number (1719291).

Almost surely, 2^60018144 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 60018144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82525968).

60018144 is an abundant number, since it is smaller than the sum of its proper divisors (105033792).

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

60018144 is a wasteful number, since it uses less digits than its factorization.

60018144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 60018144 is about 7747.1377940501. The cubic root of 60018144 is about 391.5262220056.

The spelling of 60018144 in words is "sixty million, eighteen thousand, one hundred forty-four".