208199040 has 192 divisors, whose sum is σ = 772331760. Its totient is φ = 47566848.

The previous prime is 208199027. The next prime is 208199071. The reversal of 208199040 is 40991802.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 208198992 and 208199010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92974 + ... + 95186.

Almost surely, 2^208199040 is an apocalyptic number.

208199040 is a gapful number since it is divisible by the number (20) 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 208199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386165880).

208199040 is an abundant number, since it is smaller than the sum of its proper divisors (564132720).

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

208199040 is a wasteful number, since it uses less digits than its factorization.

208199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 208199040 is about 14429.1039222815. The cubic root of 208199040 is about 592.6881454868.

The spelling of 208199040 in words is "two hundred eight million, one hundred ninety-nine thousand, forty".