208950840 has 384 divisors, whose sum is σ = 836559360. Its totient is φ = 45909504.

The previous prime is 208950839. The next prime is 208950853. The reversal of 208950840 is 48059802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 208950795 and 208950804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2517439 + ... + 2517521.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^208950840 is an apocalyptic number.

208950840 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 208950840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

208950840 is an abundant number, since it is smaller than the sum of its proper divisors (627608520).

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

208950840 is a wasteful number, since it uses less digits than its factorization.

208950840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 208950840 is about 14455.1319606567. The cubic root of 208950840 is about 593.4006811010.

The spelling of 208950840 in words is "two hundred eight million, nine hundred fifty thousand, eight hundred forty".