18769920 has 192 divisors, whose sum is σ = 66044160. Its totient is φ = 4521984.

The previous prime is 18769903. The next prime is 18769951. The reversal of 18769920 is 2996781.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399337 + ... + 399383.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 2^18769920 is an apocalyptic number.

18769920 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 18769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

18769920 is an abundant number, since it is smaller than the sum of its proper divisors (47274240).

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

18769920 is a wasteful number, since it uses less digits than its factorization.

18769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 18769920 is about 4332.4265717955. The cubic root of 18769920 is about 265.7586897035.

It can be divided in two parts, 187 and 69920, that added together give a palindrome (70107).

The spelling of 18769920 in words is "eighteen million, seven hundred sixty-nine thousand, nine hundred twenty".