18791136 has 192 divisors, whose sum is σ = 67737600. Its totient is φ = 4935168.

The previous prime is 18791107. The next prime is 18791141. The reversal of 18791136 is 63119781.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18791136.

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 31 ways as a sum of consecutive naturals, for example, 78505 + ... + 78743.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^18791136 is an apocalyptic number.

18791136 is a gapful number since it is divisible by the number (16) 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 18791136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

18791136 is an abundant number, since it is smaller than the sum of its proper divisors (48946464).

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

18791136 is a wasteful number, since it uses less digits than its factorization.

18791136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 18791136 is about 4334.8743926439. The cubic root of 18791136 is about 265.8587827126.

The spelling of 18791136 in words is "eighteen million, seven hundred ninety-one thousand, one hundred thirty-six".