209801648 has 60 divisors (see below), whose sum is σ = 490392720. Its totient is φ = 85166208.

The previous prime is 209801617. The next prime is 209801677. The reversal of 209801648 is 846108902.

209801648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37838 + ... + 43026.

It is an arithmetic number, because the mean of its divisors is an integer number (8173212).

Almost surely, 2^209801648 is an apocalyptic number.

209801648 is a gapful number since it is divisible by the number (28) 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 209801648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245196360).

209801648 is an abundant number, since it is smaller than the sum of its proper divisors (280591072).

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

209801648 is a wasteful number, since it uses less digits than its factorization.

209801648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5217 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 209801648 is about 14484.5313351865. The cubic root of 209801648 is about 594.2049952445.

The spelling of 209801648 in words is "two hundred nine million, eight hundred one thousand, six hundred forty-eight".