18126792 has 24 divisors (see below), whose sum is σ = 49093590. Its totient is φ = 6042240.

The previous prime is 18126791. The next prime is 18126803. The reversal of 18126792 is 29762181.

It can be written as a sum of positive squares in only one way, i.e., 18096516 + 30276 = 4254^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×18126792² = 657161176422528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18126791) 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 5 ways as a sum of consecutive naturals, for example, 125809 + ... + 125952.

Almost surely, 2^18126792 is an apocalyptic number.

18126792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18126792 is an abundant number, since it is smaller than the sum of its proper divisors (30966798).

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

18126792 is a wasteful number, since it uses less digits than its factorization.

18126792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251773 (or 251766 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 18126792 is about 4257.5570460065. The cubic root of 18126792 is about 262.6880502860.

The spelling of 18126792 in words is "eighteen million, one hundred twenty-six thousand, seven hundred ninety-two".