18127440 has 120 divisors (see below), whose sum is σ = 64502568. Its totient is φ = 4546560.

The previous prime is 18127397. The next prime is 18127441. The reversal of 18127440 is 4472181.

It can be written as a sum of positive squares in 4 ways, for example, as 3196944 + 14930496 = 1788^2 + 3864^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18127441) 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, 11500 + ... + 12980.

Almost surely, 2^18127440 is an apocalyptic number.

18127440 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 18127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32251284).

18127440 is an abundant number, since it is smaller than the sum of its proper divisors (46375128).

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

18127440 is a wasteful number, since it uses less digits than its factorization.

18127440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 18127440 is about 4257.6331453050. The cubic root of 18127440 is about 262.6911804561.

The spelling of 18127440 in words is "eighteen million, one hundred twenty-seven thousand, four hundred forty".