208014000 has 160 divisors (see below), whose sum is σ = 689497536. Its totient is φ = 53913600.

The previous prime is 208013987. The next prime is 208014017. The reversal of 208014000 is 410802.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221532 + ... + 222468.

Almost surely, 2^208014000 is an apocalyptic number.

208014000 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 208014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344748768).

208014000 is an abundant number, since it is smaller than the sum of its proper divisors (481483536).

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

208014000 is a wasteful number, since it uses less digits than its factorization.

208014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 208014000 is about 14422.6904563608. The cubic root of 208014000 is about 592.5125066348.

Adding to 208014000 its reverse (410802), we get a palindrome (208424802).

The spelling of 208014000 in words is "two hundred eight million, fourteen thousand".