18672511 has 16 divisors (see below), whose sum is σ = 23230368. Its totient is φ = 14745600.

The previous prime is 18672499. The next prime is 18672517. The reversal of 18672511 is 11527681.

It is a 16-Lehmer number, since φ(18672511) divides (18672511-1)¹⁶.

It is a cyclic number.

It is not a de Polignac number, because 18672511 - 2¹³ = 18664319 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18672517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410 + ... + 6271.

It is an arithmetic number, because the mean of its divisors is an integer number (1451898).

Almost surely, 2^18672511 is an apocalyptic number.

18672511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

18672511 is a deficient number, since it is larger than the sum of its proper divisors (4557857).

18672511 is a wasteful number, since it uses less digits than its factorization.

18672511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722.

The product of its digits is 3360, while the sum is 31.

The square root of 18672511 is about 4321.1700961661. The cubic root of 18672511 is about 265.2981620861.

The spelling of 18672511 in words is "eighteen million, six hundred seventy-two thousand, five hundred eleven".