18601968 has 120 divisors (see below), whose sum is σ = 61067520. Its totient is φ = 4824960.

The previous prime is 18601967. The next prime is 18602027. The reversal of 18601968 is 86910681.

It is a Cunningham number, because it is equal to 4313²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18601967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25513 + ... + 26231.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 2^18601968 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 18601968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30533760).

18601968 is an abundant number, since it is smaller than the sum of its proper divisors (42465552).

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

18601968 is a wasteful number, since it uses less digits than its factorization.

18601968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 18601968 is about 4312.9998840714. Note that the first 3 decimals coincide. The cubic root of 18601968 is about 264.9636499328.

It can be divided in two parts, 1860 and 1968, that added together give a triangular number (3828 = T₈₇).

The spelling of 18601968 in words is "eighteen million, six hundred one thousand, nine hundred sixty-eight".