18406080 has 336 divisors, whose sum is σ = 79881984. Its totient is φ = 3778560.

The previous prime is 18406051. The next prime is 18406099. The reversal of 18406080 is 8060481.

18406080 is a `hidden beast` number, since 18 + 40 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221719 + ... + 221801.

It is an arithmetic number, because the mean of its divisors is an integer number (237744).

Almost surely, 2^18406080 is an apocalyptic number.

18406080 is a gapful number since it is divisible by the number (10) 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 18406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992).

18406080 is an abundant number, since it is smaller than the sum of its proper divisors (61475904).

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

18406080 is a wasteful number, since it uses less digits than its factorization.

18406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18406080 is about 4290.2307630243. The cubic root of 18406080 is about 264.0302995527.

The spelling of 18406080 in words is "eighteen million, four hundred six thousand, eighty".