208805040 has 240 divisors, whose sum is σ = 760451328. Its totient is φ = 53146368.

The previous prime is 208805029. The next prime is 208805059. The reversal of 208805040 is 40508802.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 208804995 and 208805013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446887 + ... + 447353.

Almost surely, 2^208805040 is an apocalyptic number.

208805040 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 208805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380225664).

208805040 is an abundant number, since it is smaller than the sum of its proper divisors (551646288).

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

208805040 is a wasteful number, since it uses less digits than its factorization.

208805040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 208805040 is about 14450.0878890061. The cubic root of 208805040 is about 593.2626295697.

The spelling of 208805040 in words is "two hundred eight million, eight hundred five thousand, forty".