18775008 has 144 divisors (see below), whose sum is σ = 62375040. Its totient is φ = 5246208.

The previous prime is 18774997. The next prime is 18775033. The reversal of 18775008 is 80057781.

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 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, 135003 + ... + 135141.

It is an arithmetic number, because the mean of its divisors is an integer number (433160).

Almost surely, 2^18775008 is an apocalyptic number.

18775008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

18775008 is the 2502-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18775008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187520).

18775008 is an abundant number, since it is smaller than the sum of its proper divisors (43600032).

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

18775008 is a wasteful number, since it uses less digits than its factorization.

18775008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 18775008 is about 4333.0137318038. The cubic root of 18775008 is about 265.7827007817.

The spelling of 18775008 in words is "eighteen million, seven hundred seventy-five thousand, eight".