18823680 has 240 divisors, whose sum is σ = 70218720. Its totient is φ = 4644864.

The previous prime is 18823669. The next prime is 18823681. The reversal of 18823680 is 8632881.

It is a tau number, because it is divible by the number of its divisors (240).

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 (18823681) 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, 437739 + ... + 437781.

It is an arithmetic number, because the mean of its divisors is an integer number (292578).

Almost surely, 2^18823680 is an apocalyptic number.

18823680 is a gapful number since it is divisible by the number (10) 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 18823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35109360).

18823680 is an abundant number, since it is smaller than the sum of its proper divisors (51395040).

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

18823680 is a wasteful number, since it uses less digits than its factorization.

18823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18823680 is about 4338.6265107750. The cubic root of 18823680 is about 266.0121727333.

It can be divided in two parts, 18823 and 680, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 18823680 in words is "eighteen million, eight hundred twenty-three thousand, six hundred eighty".