18827280 has 120 divisors (see below), whose sum is σ = 64222080. Its totient is φ = 4942080.

The previous prime is 18827257. The next prime is 18827287. The reversal of 18827280 is 8272881.

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 not an unprimeable number, because it can be changed into a prime (18827287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56715 + ... + 57045.

It is an arithmetic number, because the mean of its divisors is an integer number (535184).

Almost surely, 2^18827280 is an apocalyptic number.

18827280 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 18827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32111040).

18827280 is an abundant number, since it is smaller than the sum of its proper divisors (45394800).

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

18827280 is a wasteful number, since it uses less digits than its factorization.

18827280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 18827280 is about 4339.0413687818. The cubic root of 18827280 is about 266.0291297927.

The spelling of 18827280 in words is "eighteen million, eight hundred twenty-seven thousand, two hundred eighty".