18084416 has 56 divisors (see below), whose sum is σ = 42159936. Its totient is φ = 7534080.

The previous prime is 18084401. The next prime is 18084421. The reversal of 18084416 is 61448081.

18084416 = T₂₉ + T₃₀ + ... + T₄₇₆.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×18084416² = 654092204122112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16031 + ... + 17121.

It is an arithmetic number, because the mean of its divisors is an integer number (752856).

Almost surely, 2^18084416 is an apocalyptic number.

18084416 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 18084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079968).

18084416 is an abundant number, since it is smaller than the sum of its proper divisors (24075520).

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

18084416 is a wasteful number, since it uses less digits than its factorization.

18084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 18084416 is about 4252.5775713090. The cubic root of 18084416 is about 262.4831904580.

The spelling of 18084416 in words is "eighteen million, eighty-four thousand, four hundred sixteen".