20388000 has 96 divisors (see below), whose sum is σ = 66830400. Its totient is φ = 5433600.

The previous prime is 20387993. The next prime is 20388013. The reversal of 20388000 is 88302.

It is a tau number, because it is divible by the number of its divisors (96).

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, 11151 + ... + 12849.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 2^20388000 is an apocalyptic number.

20388000 is a gapful number since it is divisible by the number (20) 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 20388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

20388000 is an abundant number, since it is smaller than the sum of its proper divisors (46442400).

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

20388000 is a wasteful number, since it uses less digits than its factorization.

20388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20388000 is about 4515.3072985125. The cubic root of 20388000 is about 273.1858547397.

The spelling of 20388000 in words is "twenty million, three hundred eighty-eight thousand".