18806480 has 160 divisors (see below), whose sum is σ = 56567808. Its totient is φ = 5644800.

The previous prime is 18806453. The next prime is 18806497. The reversal of 18806480 is 8460881.

18806480 = 316² + 317² + ... + 444².

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 18806480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264845 + ... + 264915.

Almost surely, 2^18806480 is an apocalyptic number.

18806480 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 18806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28283904).

18806480 is an abundant number, since it is smaller than the sum of its proper divisors (37761328).

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

18806480 is a wasteful number, since it uses less digits than its factorization.

18806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 18806480 is about 4336.6438636346. The cubic root of 18806480 is about 265.9311258169.

The spelling of 18806480 in words is "eighteen million, eight hundred six thousand, four hundred eighty".