208957820 has 48 divisors (see below), whose sum is σ = 464486400. Its totient is φ = 78742080.

The previous prime is 208957807. The next prime is 208957823. The reversal of 208957820 is 28759802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208957823) 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, 71141 + ... + 74019.

It is an arithmetic number, because the mean of its divisors is an integer number (9676800).

Almost surely, 2^208957820 is an apocalyptic number.

208957820 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 208957820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

208957820 is an abundant number, since it is smaller than the sum of its proper divisors (255528580).

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

208957820 is a wasteful number, since it uses less digits than its factorization.

208957820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 208957820 is about 14455.3733953848. The cubic root of 208957820 is about 593.4072885414.

The spelling of 208957820 in words is "two hundred eight million, nine hundred fifty-seven thousand, eight hundred twenty".