208420560 has 160 divisors (see below), whose sum is σ = 733524480. Its totient is φ = 54369792.

The previous prime is 208420547. The next prime is 208420573. The reversal of 208420560 is 65024802.

208420560 is a `hidden beast` number, since 2 + 0 + 84 + 20 + 560 = 666.

208420560 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 (208420547) and next prime (208420573).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100494 + ... + 102546.

It is an arithmetic number, because the mean of its divisors is an integer number (4584528).

Almost surely, 2^208420560 is an apocalyptic number.

208420560 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 208420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366762240).

208420560 is an abundant number, since it is smaller than the sum of its proper divisors (525103920).

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

208420560 is a wasteful number, since it uses less digits than its factorization.

208420560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 208420560 is about 14436.7780338966. The cubic root of 208420560 is about 592.8982741234.

The spelling of 208420560 in words is "two hundred eight million, four hundred twenty thousand, five hundred sixty".