18875520 has 192 divisors, whose sum is σ = 68023800. Its totient is φ = 4816896.

The previous prime is 18875477. The next prime is 18875543. The reversal of 18875520 is 2557881.

It can be written as a sum of positive squares in 4 ways, for example, as 9585216 + 9290304 = 3096^2 + 3048^2 .

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 zygodrome in base 8.

It is a congruent number.

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, 166984 + ... + 167096.

Almost surely, 2^18875520 is an apocalyptic number.

18875520 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 18875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34011900).

18875520 is an abundant number, since it is smaller than the sum of its proper divisors (49148280).

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

18875520 is a wasteful number, since it uses less digits than its factorization.

18875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 18875520 is about 4344.5966441086. The cubic root of 18875520 is about 266.2561461254.

The spelling of 18875520 in words is "eighteen million, eight hundred seventy-five thousand, five hundred twenty".