18083520 has 448 divisors, whose sum is σ = 81930240. Its totient is φ = 3649536.

The previous prime is 18083519. The next prime is 18083531. The reversal of 18083520 is 2538081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786229 + ... + 786251.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^18083520 is an apocalyptic number.

18083520 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 18083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

18083520 is an abundant number, since it is smaller than the sum of its proper divisors (63846720).

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

18083520 is a wasteful number, since it uses less digits than its factorization.

18083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 18083520 is about 4252.4722221315. The cubic root of 18083520 is about 262.4788554397.

The spelling of 18083520 in words is "eighteen million, eighty-three thousand, five hundred twenty".