18830880 has 120 divisors (see below), whose sum is σ = 66503052. Its totient is φ = 5018112.

The previous prime is 18830809. The next prime is 18830893. The reversal of 18830880 is 8803881.

It can be written as a sum of positive squares in 2 ways, for example, as 17740944 + 1089936 = 4212^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12234 + ... + 13686.

Almost surely, 2^18830880 is an apocalyptic number.

18830880 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 18830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33251526).

18830880 is an abundant number, since it is smaller than the sum of its proper divisors (47672172).

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

18830880 is a wasteful number, since it uses less digits than its factorization.

18830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18830880 is about 4339.4561871276. The cubic root of 18830880 is about 266.0460846906.

The spelling of 18830880 in words is "eighteen million, eight hundred thirty thousand, eight hundred eighty".