208114920 has 288 divisors, whose sum is σ = 768778920. Its totient is φ = 50388480.

The previous prime is 208114913. The next prime is 208114927. The reversal of 208114920 is 29411802.

208114920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208114913) and next prime (208114927).

It can be written as a sum of positive squares in 4 ways, for example, as 68260644 + 139854276 = 8262^2 + 11826^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (208114927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3411690 + ... + 3411750.

Almost surely, 2^208114920 is an apocalyptic number.

208114920 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 208114920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384389460).

208114920 is an abundant number, since it is smaller than the sum of its proper divisors (560664000).

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

208114920 is an equidigital number, since it uses as much as digits as its factorization.

208114920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 208114920 is about 14426.1886858588. The cubic root of 208114920 is about 592.6083121968.

The spelling of 208114920 in words is "two hundred eight million, one hundred fourteen thousand, nine hundred twenty".