208965120 has 480 divisors, whose sum is σ = 862659072. Its totient is φ = 42172416.

The previous prime is 208965103. The next prime is 208965121. The reversal of 208965120 is 21569802.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×208965120² = 87332842753228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208965121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9085429 + ... + 9085451.

Almost surely, 2^208965120 is an apocalyptic number.

208965120 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 208965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431329536).

208965120 is an abundant number, since it is smaller than the sum of its proper divisors (653693952).

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

208965120 is a wasteful number, since it uses less digits than its factorization.

208965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 208965120 is about 14455.6258944399. The cubic root of 208965120 is about 593.4141987442.

The spelling of 208965120 in words is "two hundred eight million, nine hundred sixty-five thousand, one hundred twenty".