18765920 has 48 divisors (see below), whose sum is σ = 46675440. Its totient is φ = 7110144.

The previous prime is 18765889. The next prime is 18765949. The reversal of 18765920 is 2956781.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 6126.

It is an arithmetic number, because the mean of its divisors is an integer number (972405).

Almost surely, 2^18765920 is an apocalyptic number.

18765920 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 18765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23337720).

18765920 is an abundant number, since it is smaller than the sum of its proper divisors (27909520).

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

18765920 is a wasteful number, since it uses less digits than its factorization.

18765920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 18765920 is about 4331.9649121386. The cubic root of 18765920 is about 265.7398100230.

The spelling of 18765920 in words is "eighteen million, seven hundred sixty-five thousand, nine hundred twenty".