18364896 has 216 divisors, whose sum is σ = 62741952. Its totient is φ = 5068800.

The previous prime is 18364891. The next prime is 18364897. The reversal of 18364896 is 69846381.

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

Its product of digits (248832) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18364891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592401 + ... + 592431.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 2^18364896 is an apocalyptic number.

18364896 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 18364896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976).

18364896 is an abundant number, since it is smaller than the sum of its proper divisors (44377056).

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

18364896 is a wasteful number, since it uses less digits than its factorization.

18364896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

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

The square root of 18364896 is about 4285.4283333175. The cubic root of 18364896 is about 263.8332280036.

The spelling of 18364896 in words is "eighteen million, three hundred sixty-four thousand, eight hundred ninety-six".