208116864 has 96 divisors (see below), whose sum is σ = 621151440. Its totient is φ = 69361920.

The previous prime is 208116851. The next prime is 208116869. The reversal of 208116864 is 468611802.

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 not an unprimeable number, because it can be changed into a prime (208116869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27759 + ... + 34449.

Almost surely, 2^208116864 is an apocalyptic number.

208116864 is a gapful number since it is divisible by the number (24) 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 208116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310575720).

208116864 is an abundant number, since it is smaller than the sum of its proper divisors (413034576).

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

208116864 is an frugal number, since it uses more digits than its factorization.

208116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 208116864 is about 14426.2560631648. The cubic root of 208116864 is about 592.6101573744.

The spelling of 208116864 in words is "two hundred eight million, one hundred sixteen thousand, eight hundred sixty-four".