18948168 has 108 divisors (see below), whose sum is σ = 56241315. Its totient is φ = 5983632.

The previous prime is 18948133. The next prime is 18948169. The reversal of 18948168 is 86184981.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 9474084 + 9474084 = 3078^2 + 3078^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3078.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (110592) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (18948169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 997263 + ... + 997281.

Almost surely, 2^18948168 is an apocalyptic number.

18948168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18948168

18948168 is an abundant number, since it is smaller than the sum of its proper divisors (37293147).

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

18948168 is an frugal number, since it uses more digits than its factorization.

18948168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 24 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 18948168 is about 4352.9493449844. The cubic root of 18948168 is about 266.5972972339.

The spelling of 18948168 in words is "eighteen million, nine hundred forty-eight thousand, one hundred sixty-eight".