209088768 has 288 divisors, whose sum is σ = 706406400. Its totient is φ = 53526528.

The previous prime is 209088767. The next prime is 209088799. The reversal of 209088768 is 867880902.

It is a happy number.

It is a super-2 number, since 2×209088768² = 87436225807515648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (209088767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349268 + ... + 2349356.

It is an arithmetic number, because the mean of its divisors is an integer number (2452800).

Almost surely, 2^209088768 is an apocalyptic number.

209088768 is a gapful number since it is divisible by the number (28) 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 209088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353203200).

209088768 is an abundant number, since it is smaller than the sum of its proper divisors (497317632).

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

209088768 is a wasteful number, since it uses less digits than its factorization.

209088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 209088768 is about 14459.9020743572. The cubic root of 209088768 is about 593.5312198868.

It can be divided in two parts, 209088 and 768, that multiplied together give a square (160579584 = 12672²).

The spelling of 209088768 in words is "two hundred nine million, eighty-eight thousand, seven hundred sixty-eight".