18765540 has 192 divisors, whose sum is σ = 64512000. Its totient is φ = 4510080.

The previous prime is 18765511. The next prime is 18765557. The reversal of 18765540 is 4556781.

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

It is a junction number, because it is equal to n+sod(n) for n = 18765495 and 18765504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318031 + ... + 318089.

It is an arithmetic number, because the mean of its divisors is an integer number (336000).

Almost surely, 2^18765540 is an apocalyptic number.

18765540 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 18765540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256000).

18765540 is an abundant number, since it is smaller than the sum of its proper divisors (45746460).

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

18765540 is a wasteful number, since it uses less digits than its factorization.

18765540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 18765540 is about 4331.9210519122. The cubic root of 18765540 is about 265.7380163138.

The spelling of 18765540 in words is "eighteen million, seven hundred sixty-five thousand, five hundred forty".