208106496 has 220 divisors, whose sum is σ = 672717892. Its totient is φ = 63700992.

The previous prime is 208106477. The next prime is 208106519. The reversal of 208106496 is 694601802.

208106496 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 0 + 649 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 167961600 = 6336^2 + 12960^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 208106496.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1078176 + ... + 1078368.

Almost surely, 2^208106496 is an apocalyptic number.

208106496 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 208106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336358946).

208106496 is an abundant number, since it is smaller than the sum of its proper divisors (464611396).

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

208106496 is a wasteful number, since it uses less digits than its factorization.

208106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 208106496 is about 14425.8967138962. The cubic root of 208106496 is about 592.6003162944.

The spelling of 208106496 in words is "two hundred eight million, one hundred six thousand, four hundred ninety-six".