208386126 has 72 divisors (see below), whose sum is σ = 497363256. Its totient is φ = 63011520.

The previous prime is 208386103. The next prime is 208386131. The reversal of 208386126 is 621683802.

208386126 is a `hidden beast` number, since 2 + 0 + 8 + 38 + 612 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185001 + ... + 186123.

It is an arithmetic number, because the mean of its divisors is an integer number (6907823).

Almost surely, 2^208386126 is an apocalyptic number.

208386126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 208386126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248681628).

208386126 is an abundant number, since it is smaller than the sum of its proper divisors (288977130).

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

208386126 is a wasteful number, since it uses less digits than its factorization.

208386126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 208386126 is about 14435.5854055179. The cubic root of 208386126 is about 592.8656206213.

It can be divided in two parts, 2083 and 86126, that added together give a square (88209 = 297²).

The spelling of 208386126 in words is "two hundred eight million, three hundred eighty-six thousand, one hundred twenty-six".