18506007 has 36 divisors (see below), whose sum is σ = 30260880. Its totient is φ = 10893168.

The previous prime is 18505969. The next prime is 18506021. The reversal of 18506007 is 70060581.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

18506007 is a `hidden beast` number, since 1 + 8 + 50 + 600 + 7 = 666.

It is not a de Polignac number, because 18506007 - 2¹⁴ = 18489623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18506027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 804598 + ... + 804620.

It is an arithmetic number, because the mean of its divisors is an integer number (840580).

Almost surely, 2^18506007 is an apocalyptic number.

18506007 is a deficient number, since it is larger than the sum of its proper divisors (11754873).

18506007 is an equidigital number, since it uses as much as digits as its factorization.

18506007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 18506007 is about 4301.8608764115. The cubic root of 18506007 is about 264.5072461783.

Adding to 18506007 its reverse (70060581), we get a palindrome (88566588).

The spelling of 18506007 in words is "eighteen million, five hundred six thousand, seven".