208078416 has 320 divisors, whose sum is σ = 755507200. Its totient is φ = 53374464.

The previous prime is 208078411. The next prime is 208078421. The reversal of 208078416 is 614870802.

It is an interprime number because it is at equal distance from previous prime (208078411) and next prime (208078421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208078411) 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 63 ways as a sum of consecutive naturals, for example, 2633865 + ... + 2633943.

It is an arithmetic number, because the mean of its divisors is an integer number (2360960).

Almost surely, 2^208078416 is an apocalyptic number.

208078416 is a gapful number since it is divisible by the number (26) 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 208078416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377753600).

208078416 is an abundant number, since it is smaller than the sum of its proper divisors (547428784).

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

208078416 is a wasteful number, since it uses less digits than its factorization.

208078416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 208078416 is about 14424.9234313392. The cubic root of 208078416 is about 592.5736617278.

The spelling of 208078416 in words is "two hundred eight million, seventy-eight thousand, four hundred sixteen".