208916064 has 96 divisors (see below), whose sum is σ = 696407040. Its totient is φ = 59688576.

The previous prime is 208916051. The next prime is 208916069. The reversal of 208916064 is 460619802.

208916064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208916069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11224 + ... + 23319.

It is an arithmetic number, because the mean of its divisors is an integer number (7254240).

Almost surely, 2^208916064 is an apocalyptic number.

208916064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

208916064 is an abundant number, since it is smaller than the sum of its proper divisors (487490976).

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

208916064 is a wasteful number, since it uses less digits than its factorization.

208916064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34569 (or 34555 counting only the distinct ones).

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

The square root of 208916064 is about 14453.9290160150. The cubic root of 208916064 is about 593.3677590877.

The spelling of 208916064 in words is "two hundred eight million, nine hundred sixteen thousand, sixty-four".