16288020 has 192 divisors, whose sum is σ = 60211200. Its totient is φ = 3576960.

The previous prime is 16288007. The next prime is 16288021. The reversal of 16288020 is 2088261.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16288021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117111 + ... + 117249.

It is an arithmetic number, because the mean of its divisors is an integer number (313600).

Almost surely, 2^16288020 is an apocalyptic number.

16288020 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 16288020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30105600).

16288020 is an abundant number, since it is smaller than the sum of its proper divisors (43923180).

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

16288020 is a wasteful number, since it uses less digits than its factorization.

16288020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 16288020 is about 4035.8419195999. The cubic root of 16288020 is about 253.4872371993.

The spelling of 16288020 in words is "sixteen million, two hundred eighty-eight thousand, twenty".