18689616 has 240 divisors, whose sum is σ = 64995840. Its totient is φ = 5132160.

The previous prime is 18689611. The next prime is 18689617. The reversal of 18689616 is 61698681.

18689616 = 183³ + 184³ + 185³.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18689611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812581 + ... + 812603.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 2^18689616 is an apocalyptic number.

18689616 is a gapful number since it is divisible by the number (16) 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 18689616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

18689616 is an abundant number, since it is smaller than the sum of its proper divisors (46306224).

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

18689616 is a wasteful number, since it uses less digits than its factorization.

18689616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 18689616 is about 4323.1488523991. The cubic root of 18689616 is about 265.3791463756.

The spelling of 18689616 in words is "eighteen million, six hundred eighty-nine thousand, six hundred sixteen".