208988320 has 48 divisors (see below), whose sum is σ = 504258048. Its totient is φ = 81813760.

The previous prime is 208988317. The next prime is 208988323. The reversal of 208988320 is 23889802.

It is an interprime number because it is at equal distance from previous prime (208988317) and next prime (208988323).

It is a super-2 number, since 2×208988320² = 87352235792844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (208988323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6376 + ... + 21415.

It is an arithmetic number, because the mean of its divisors is an integer number (10505376).

Almost surely, 2^208988320 is an apocalyptic number.

208988320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208988320 is an abundant number, since it is smaller than the sum of its proper divisors (295269728).

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

208988320 is a wasteful number, since it uses less digits than its factorization.

208988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27853 (or 27845 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 208988320 is about 14456.4283279100. The cubic root of 208988320 is about 593.4361588684.

It can be divided in two parts, 2089 and 88320, that added together give a palindrome (90409).

The spelling of 208988320 in words is "two hundred eight million, nine hundred eighty-eight thousand, three hundred twenty".