18516096 has 48 divisors (see below), whose sum is σ = 53285310. Its totient is φ = 6171648.

The previous prime is 18516059. The next prime is 18516097. The reversal of 18516096 is 69061581.

It can be written as a sum of positive squares in only one way, i.e., 17640000 + 876096 = 4200^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×18516096² = 685691622162432, 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 18516096.

It is not an unprimeable number, because it can be changed into a prime (18516097) 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 5 ways as a sum of consecutive naturals, for example, 6885 + ... + 9188.

Almost surely, 2^18516096 is an apocalyptic number.

18516096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18516096 is an abundant number, since it is smaller than the sum of its proper divisors (34769214).

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

18516096 is a wasteful number, since it uses less digits than its factorization.

18516096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16093 (or 16078 counting only the distinct ones).

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

The square root of 18516096 is about 4303.0333486972. The cubic root of 18516096 is about 264.5553049663. Note that the first 3 decimals are identical.

The spelling of 18516096 in words is "eighteen million, five hundred sixteen thousand, ninety-six".