18436896 has 72 divisors (see below), whose sum is σ = 54394704. Its totient is φ = 6143040.

The previous prime is 18436889. The next prime is 18436903. The reversal of 18436896 is 69863481.

It is an interprime number because it is at equal distance from previous prime (18436889) and next prime (18436903).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×18436896² = 679838268229632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6591 + ... + 8961.

It is an arithmetic number, because the mean of its divisors is an integer number (755482).

Almost surely, 2^18436896 is an apocalyptic number.

18436896 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 18436896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27197352).

18436896 is an abundant number, since it is smaller than the sum of its proper divisors (35957808).

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

18436896 is an equidigital number, since it uses as much as digits as its factorization.

18436896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2376 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 18436896 is about 4293.8206762742. The cubic root of 18436896 is about 264.1775664924.

The spelling of 18436896 in words is "eighteen million, four hundred thirty-six thousand, eight hundred ninety-six".