20288880 has 200 divisors, whose sum is σ = 73459584. Its totient is φ = 5184000.

The previous prime is 20288867. The next prime is 20288899. The reversal of 20288880 is 8888202.

It is a super-3 number, since 3×20288880³ (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200830 + ... + 200930.

Almost surely, 2^20288880 is an apocalyptic number.

20288880 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 20288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36729792).

20288880 is an abundant number, since it is smaller than the sum of its proper divisors (53170704).

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

20288880 is a wasteful number, since it uses less digits than its factorization.

20288880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 20288880 is about 4504.3179283883. The cubic root of 20288880 is about 272.7424209768.

The spelling of 20288880 in words is "twenty million, two hundred eighty-eight thousand, eight hundred eighty".