18479520 has 144 divisors (see below), whose sum is σ = 64805832. Its totient is φ = 4792320.

The previous prime is 18479509. The next prime is 18479521. The reversal of 18479520 is 2597481.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 14653584 = 1956^2 + 3828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (18479521) 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, 58884 + ... + 59196.

Almost surely, 2^18479520 is an apocalyptic number.

18479520 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 18479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32402916).

18479520 is an abundant number, since it is smaller than the sum of its proper divisors (46326312).

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

18479520 is a wasteful number, since it uses less digits than its factorization.

18479520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 18479520 is about 4298.7812226258. The cubic root of 18479520 is about 264.3809926043.

The spelling of 18479520 in words is "eighteen million, four hundred seventy-nine thousand, five hundred twenty".