18156096 has 224 divisors, whose sum is σ = 65024000. Its totient is φ = 4852224.

The previous prime is 18156091. The next prime is 18156107. The reversal of 18156096 is 69065181.

18156096 is a `hidden beast` number, since 1 + 8 + 1 + 560 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×18156096² = 659287643922432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18156096.

It is not an unprimeable number, because it can be changed into a prime (18156091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229785 + ... + 229863.

Almost surely, 2^18156096 is an apocalyptic number.

18156096 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 18156096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32512000).

18156096 is an abundant number, since it is smaller than the sum of its proper divisors (46867904).

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

18156096 is a wasteful number, since it uses less digits than its factorization.

18156096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 18156096 is about 4260.9970664153. The cubic root of 18156096 is about 262.8295290103.

The spelling of 18156096 in words is "eighteen million, one hundred fifty-six thousand, ninety-six".