208416960 has 84 divisors (see below), whose sum is σ = 716877408. Its totient is φ = 55577088.

The previous prime is 208416959. The next prime is 208416973. The reversal of 208416960 is 69614802.

208416960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33304 + ... + 39063.

Almost surely, 2^208416960 is an apocalyptic number.

208416960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208416960 is an abundant number, since it is smaller than the sum of its proper divisors (508460448).

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

208416960 is a wasteful number, since it uses less digits than its factorization.

208416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72390 (or 72377 counting only the distinct ones).

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

The square root of 208416960 is about 14436.6533517987. The cubic root of 208416960 is about 592.8948604390.

It can be divided in two parts, 2084 and 16960, that added together give a square (19044 = 138²).

The spelling of 208416960 in words is "two hundred eight million, four hundred sixteen thousand, nine hundred sixty".