8208385920 has 576 divisors, whose sum is σ = 33377011200. Its totient is φ = 1853300736.

The previous prime is 8208385907. The next prime is 8208385943. The reversal of 8208385920 is 295838028.

8208385920 is a `hidden beast` number, since 8 + 20 + 8 + 38 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35844366 + ... + 35844594.

It is an arithmetic number, because the mean of its divisors is an integer number (57946200).

Almost surely, 2^8208385920 is an apocalyptic number.

8208385920 is a gapful number since it is divisible by the number (80) 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 8208385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16688505600).

8208385920 is an abundant number, since it is smaller than the sum of its proper divisors (25168625280).

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

8208385920 is a wasteful number, since it uses less digits than its factorization.

8208385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8208385920 is about 90600.1430462447. The cubic root of 8208385920 is about 2017.2168579491.

The spelling of 8208385920 in words is "eight billion, two hundred eight million, three hundred eighty-five thousand, nine hundred twenty".