18768120 has 64 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 4289664.

The previous prime is 18768103. The next prime is 18768137. The reversal of 18768120 is 2186781.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18768103) and next prime (18768137).

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, 10332 + ... + 12011.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^18768120 is an apocalyptic number.

18768120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18768120 is an abundant number, since it is smaller than the sum of its proper divisors (45582600).

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

18768120 is a wasteful number, since it uses less digits than its factorization.

18768120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22364 (or 22360 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 18768120 is about 4332.2188310380. The cubic root of 18768120 is about 265.7501941792.

The spelling of 18768120 in words is "eighteen million, seven hundred sixty-eight thousand, one hundred twenty".