208834000 has 40 divisors (see below), whose sum is σ = 504965448. Its totient is φ = 83532800.

The previous prime is 208833991. The next prime is 208834007. The reversal of 208834000 is 438802.

It can be written as a sum of positive squares in 4 ways, for example, as 31091776 + 177742224 = 5576^2 + 13332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×208834000² = 87223279112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208834007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50209 + ... + 54208.

Almost surely, 2^208834000 is an apocalyptic number.

208834000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208834000 is an abundant number, since it is smaller than the sum of its proper divisors (296131448).

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

208834000 is a wasteful number, since it uses less digits than its factorization.

208834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104440 (or 104424 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 208834000 is about 14451.0899242929. The cubic root of 208834000 is about 593.2900556182.

The spelling of 208834000 in words is "two hundred eight million, eight hundred thirty-four thousand".