18903168 has 96 divisors (see below), whose sum is σ = 55493100. Its totient is φ = 6174720.

The previous prime is 18903163. The next prime is 18903193. The reversal of 18903168 is 86130981.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 5419584 = 3672^2 + 2328^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (18903163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70138 + ... + 70406.

Almost surely, 2^18903168 is an apocalyptic number.

18903168 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 18903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27746550).

18903168 is an abundant number, since it is smaller than the sum of its proper divisors (36589932).

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

18903168 is a wasteful number, since it uses less digits than its factorization.

18903168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 18903168 is about 4347.7773632053. Note that the first 3 decimals coincide. The cubic root of 18903168 is about 266.3860826536.

It can be divided in two parts, 18 and 903168, that multiplied together give a square (16257024 = 4032²).

The spelling of 18903168 in words is "eighteen million, nine hundred three thousand, one hundred sixty-eight".