18920448 has 66 divisors (see below), whose sum is σ = 54658994. Its totient is φ = 6303744.

The previous prime is 18920413. The next prime is 18920449. The reversal of 18920448 is 84402981.

It can be written as a sum of positive squares in only one way, i.e., 16257024 + 2663424 = 4032^2 + 1632^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (18920449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8190 + ... + 10242.

Almost surely, 2^18920448 is an apocalyptic number.

18920448 is a gapful number since it is divisible by the number (18) 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 18920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27329497).

18920448 is an abundant number, since it is smaller than the sum of its proper divisors (35738546).

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

18920448 is a wasteful number, since it uses less digits than its factorization.

18920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2058 counting only the distinct ones).

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

The square root of 18920448 is about 4349.7641315363. The cubic root of 18920448 is about 266.4672286568.

The spelling of 18920448 in words is "eighteen million, nine hundred twenty thousand, four hundred forty-eight".