18959616 has 144 divisors (see below), whose sum is σ = 60665920. Its totient is φ = 5806080.

The previous prime is 18959599. The next prime is 18959623. The reversal of 18959616 is 61695981.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89751 + ... + 89961.

Almost surely, 2^18959616 is an apocalyptic number.

18959616 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 18959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30332960).

18959616 is an abundant number, since it is smaller than the sum of its proper divisors (41706304).

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

18959616 is a wasteful number, since it uses less digits than its factorization.

18959616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 18959616 is about 4354.2641169318. The cubic root of 18959616 is about 266.6509768547.

It can be divided in two parts, 1895 and 9616, that added together give a palindrome (11511).

The spelling of 18959616 in words is "eighteen million, nine hundred fifty-nine thousand, six hundred sixteen".