18745920 has 168 divisors, whose sum is σ = 67519296. Its totient is φ = 4764672.

The previous prime is 18745901. The next prime is 18745921. The reversal of 18745920 is 2954781.

18745920 is a `hidden beast` number, since 187 + 459 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18745921) 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, 66099 + ... + 66381.

Almost surely, 2^18745920 is an apocalyptic number.

18745920 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 18745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33759648).

18745920 is an abundant number, since it is smaller than the sum of its proper divisors (48773376).

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

18745920 is a wasteful number, since it uses less digits than its factorization.

18745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 18745920 is about 4329.6558754709. The cubic root of 18745920 is about 265.6453713557.

The spelling of 18745920 in words is "eighteen million, seven hundred forty-five thousand, nine hundred twenty".