18007680 has 128 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 4702208.

The previous prime is 18007663. The next prime is 18007697. The reversal of 18007680 is 8670081.

It is an interprime number because it is at equal distance from previous prime (18007663) and next prime (18007697).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159304 + ... + 159416.

Almost surely, 2^18007680 is an apocalyptic number.

18007680 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 18007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560).

18007680 is an abundant number, since it is smaller than the sum of its proper divisors (40597440).

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

18007680 is a wasteful number, since it uses less digits than its factorization.

18007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 18007680 is about 4243.5456872761. The cubic root of 18007680 is about 262.1114068876. Note that the first 3 decimals are identical.

It can be divided in two parts, 1800 and 7680, that multiplied together give a cube (13824000 = 240³).

The spelling of 18007680 in words is "eighteen million, seven thousand, six hundred eighty".