18765648 has 120 divisors (see below), whose sum is σ = 59371200. Its totient is φ = 5670720.

The previous prime is 18765641. The next prime is 18765653. The reversal of 18765648 is 84656781.

It is a happy number.

18765648 is a `hidden beast` number, since 1 + 87 + 6 + 564 + 8 = 666.

It is a super-3 number, since 3×18765648³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18765641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52093 + ... + 52451.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^18765648 is an apocalyptic number.

18765648 is a gapful number since it is divisible by the number (18) 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 18765648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29685600).

18765648 is an abundant number, since it is smaller than the sum of its proper divisors (40605552).

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

18765648 is a wasteful number, since it uses less digits than its factorization.

18765648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 375 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 18765648 is about 4331.9335174954. The cubic root of 18765648 is about 265.7385261073.

The spelling of 18765648 in words is "eighteen million, seven hundred sixty-five thousand, six hundred forty-eight".