18808416 has 96 divisors (see below), whose sum is σ = 59875200. Its totient is φ = 5696640.

The previous prime is 18808373. The next prime is 18808417. The reversal of 18808416 is 61480881.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18808417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8515 + ... + 10493.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 2^18808416 is an apocalyptic number.

18808416 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 18808416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937600).

18808416 is an abundant number, since it is smaller than the sum of its proper divisors (41066784).

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

18808416 is a wasteful number, since it uses less digits than its factorization.

18808416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18808416 is about 4336.8670719772. The cubic root of 18808416 is about 265.9402507744.

It can be divided in two parts, 1880 and 8416, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 18808416 in words is "eighteen million, eight hundred eight thousand, four hundred sixteen".