18461616 has 80 divisors (see below), whose sum is σ = 51901440. Its totient is φ = 5633280.

The previous prime is 18461593. The next prime is 18461621. The reversal of 18461616 is 61616481.

18461616 = 744² + 745² + ... + 775².

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27946 + ... + 28598.

It is an arithmetic number, because the mean of its divisors is an integer number (648768).

Almost surely, 2^18461616 is an apocalyptic number.

18461616 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 18461616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25950720).

18461616 is an abundant number, since it is smaller than the sum of its proper divisors (33439824).

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

18461616 is a wasteful number, since it uses less digits than its factorization.

18461616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 18461616 is about 4296.6982672745. The cubic root of 18461616 is about 264.2955826153.

The spelling of 18461616 in words is "eighteen million, four hundred sixty-one thousand, six hundred sixteen".