18007968 has 48 divisors (see below), whose sum is σ = 51571296. Its totient is φ = 5456640.

The previous prime is 18007963. The next prime is 18007973. The reversal of 18007968 is 86970081.

It is an interprime number because it is at equal distance from previous prime (18007963) and next prime (18007973).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×18007968² = 648573822978048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18007963) 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, 7471 + ... + 9582.

It is an arithmetic number, because the mean of its divisors is an integer number (1074402).

Almost surely, 2^18007968 is an apocalyptic number.

It is an amenable number.

18007968 is an abundant number, since it is smaller than the sum of its proper divisors (33563328).

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

18007968 is a wasteful number, since it uses less digits than its factorization.

18007968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17077 (or 17069 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 18007968 is about 4243.5796210275. The cubic root of 18007968 is about 262.1128042115.

The spelling of 18007968 in words is "eighteen million, seven thousand, nine hundred sixty-eight".