208227840 has 160 divisors (see below), whose sum is σ = 701205120. Its totient is φ = 52568064.

The previous prime is 208227839. The next prime is 208227841. The reversal of 208227840 is 48722802.

It is an interprime number because it is at equal distance from previous prime (208227839) and next prime (208227841).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208227841) 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, 145207 + ... + 146633.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2^208227840 is an apocalyptic number.

208227840 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 208227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350602560).

208227840 is an abundant number, since it is smaller than the sum of its proper divisors (492977280).

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

208227840 is a wasteful number, since it uses less digits than its factorization.

208227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 208227840 is about 14430.1018707423. The cubic root of 208227840 is about 592.7154729128.

The spelling of 208227840 in words is "two hundred eight million, two hundred twenty-seven thousand, eight hundred forty".