18742080 has 112 divisors (see below), whose sum is σ = 68031360. Its totient is φ = 4282368.

The previous prime is 18742069. The next prime is 18742099. The reversal of 18742080 is 8024781.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5326 + ... + 8114.

Almost surely, 2^18742080 is an apocalyptic number.

18742080 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 18742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34015680).

18742080 is an abundant number, since it is smaller than the sum of its proper divisors (49289280).

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

18742080 is a wasteful number, since it uses less digits than its factorization.

18742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 18742080 is about 4329.2123995018. The cubic root of 18742080 is about 265.6272314461.

The spelling of 18742080 in words is "eighteen million, seven hundred forty-two thousand, eighty".