18768312 has 24 divisors (see below), whose sum is σ = 50831040. Its totient is φ = 6256080.

The previous prime is 18768311. The next prime is 18768317. The reversal of 18768312 is 21386781.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×18768312³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18768311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130264 + ... + 130407.

It is an arithmetic number, because the mean of its divisors is an integer number (2117960).

Almost surely, 2^18768312 is an apocalyptic number.

18768312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18768312 is an abundant number, since it is smaller than the sum of its proper divisors (32062728).

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

18768312 is a wasteful number, since it uses less digits than its factorization.

18768312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260683 (or 260676 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 18768312 is about 4332.2409905267. The cubic root of 18768312 is about 265.7511003944.

The spelling of 18768312 in words is "eighteen million, seven hundred sixty-eight thousand, three hundred twelve".