18135680 has 64 divisors (see below), whose sum is σ = 44431200. Its totient is φ = 7074816.

The previous prime is 18135679. The next prime is 18135683. The reversal of 18135680 is 8653181.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×18135680³ (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18135683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27191 + ... + 27849.

Almost surely, 2^18135680 is an apocalyptic number.

18135680 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 18135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22215600).

18135680 is an abundant number, since it is smaller than the sum of its proper divisors (26295520).

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

18135680 is an equidigital number, since it uses as much as digits as its factorization.

18135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 18135680 is about 4258.6007091532. The cubic root of 18135680 is about 262.7309773503.

The spelling of 18135680 in words is "eighteen million, one hundred thirty-five thousand, six hundred eighty".