18829440 has 192 divisors, whose sum is σ = 74468160. Its totient is φ = 4294656.

The previous prime is 18829409. The next prime is 18829453. The reversal of 18829440 is 4492881.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18829395 and 18829404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40087 + ... + 40553.

It is an arithmetic number, because the mean of its divisors is an integer number (387855).

Almost surely, 2^18829440 is an apocalyptic number.

18829440 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 18829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37234080).

18829440 is an abundant number, since it is smaller than the sum of its proper divisors (55638720).

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

18829440 is a wasteful number, since it uses less digits than its factorization.

18829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 484 counting only the distinct ones).

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

The square root of 18829440 is about 4339.2902645479. The cubic root of 18829440 is about 266.0393029908.

The spelling of 18829440 in words is "eighteen million, eight hundred twenty-nine thousand, four hundred forty".