208416090 has 32 divisors (see below), whose sum is σ = 529623360. Its totient is φ = 52308224.

The previous prime is 208416059. The next prime is 208416097. The reversal of 208416090 is 90614802.

208416090 is digitally balanced in base 2, 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 (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (208416097) 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, 203820 + ... + 204839.

It is an arithmetic number, because the mean of its divisors is an integer number (16550730).

Almost surely, 2^208416090 is an apocalyptic number.

208416090 is an abundant number, since it is smaller than the sum of its proper divisors (321207270).

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

208416090 is a wasteful number, since it uses less digits than its factorization.

208416090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408686.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 208416090 is about 14436.6232201301. The cubic root of 208416090 is about 592.8940354593.

The spelling of 208416090 in words is "two hundred eight million, four hundred sixteen thousand, ninety".