18824480 has 48 divisors (see below), whose sum is σ = 46017720. Its totient is φ = 7268352.

The previous prime is 18824447. The next prime is 18824489. The reversal of 18824480 is 8442881.

It can be written as a sum of positive squares in 4 ways, for example, as 15335056 + 3489424 = 3916^2 + 1868^2 .

It is a super-2 number, since 2×18824480² = 708722094540800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18824480.

It is not an unprimeable number, because it can be changed into a prime (18824489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2612 + ... + 6668.

Almost surely, 2^18824480 is an apocalyptic number.

18824480 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 18824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23008860).

18824480 is an abundant number, since it is smaller than the sum of its proper divisors (27193240).

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

18824480 is a wasteful number, since it uses less digits than its factorization.

18824480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 18824480 is about 4338.7187048713. The cubic root of 18824480 is about 266.0159411556.

The spelling of 18824480 in words is "eighteen million, eight hundred twenty-four thousand, four hundred eighty".