208021632 has 128 divisors (see below), whose sum is σ = 680184960. Its totient is φ = 54853632.

The previous prime is 208021631. The next prime is 208021679. The reversal of 208021632 is 236120802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208021631) 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, 31968 + ... + 37920.

It is an arithmetic number, because the mean of its divisors is an integer number (5313945).

Almost surely, 2^208021632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208021632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340092480).

208021632 is an abundant number, since it is smaller than the sum of its proper divisors (472163328).

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

208021632 is a wasteful number, since it uses less digits than its factorization.

208021632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5990 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 208021632 is about 14422.9550370234. The cubic root of 208021632 is about 592.5197529422.

The spelling of 208021632 in words is "two hundred eight million, twenty-one thousand, six hundred thirty-two".