208734416 has 40 divisors (see below), whose sum is σ = 443200800. Its totient is φ = 94446720.

The previous prime is 208734401. The next prime is 208734419. The reversal of 208734416 is 614437802.

It is a super-2 number, since 2×208734416² = 87140112845722112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208734419) 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, 37715 + ... + 42893.

It is an arithmetic number, because the mean of its divisors is an integer number (11080020).

Almost surely, 2^208734416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208734416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221600400).

208734416 is an abundant number, since it is smaller than the sum of its proper divisors (234466384).

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

208734416 is a wasteful number, since it uses less digits than its factorization.

208734416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 208734416 is about 14447.6439601757. The cubic root of 208734416 is about 593.1957357427.

The spelling of 208734416 in words is "two hundred eight million, seven hundred thirty-four thousand, four hundred sixteen".