18046080 has 192 divisors, whose sum is σ = 67387320. Its totient is φ = 4423680.

The previous prime is 18046069. The next prime is 18046081. The reversal of 18046080 is 8064081.

It can be written as a sum of positive squares in 4 ways, for example, as 13483584 + 4562496 = 3672^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×18046080² = 651322006732800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18046081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74760 + ... + 75000.

Almost surely, 2^18046080 is an apocalyptic number.

18046080 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 18046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33693660).

18046080 is an abundant number, since it is smaller than the sum of its proper divisors (49341240).

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

18046080 is a wasteful number, since it uses less digits than its factorization.

18046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

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

The square root of 18046080 is about 4248.0677960692. The cubic root of 18046080 is about 262.2975854542.

It can be divided in two parts, 180 and 46080, that multiplied together give a square (8294400 = 2880²).

The spelling of 18046080 in words is "eighteen million, forty-six thousand, eighty".