8286001920 has 720 divisors, whose sum is σ = 34724289600. Its totient is φ = 1885814784.

The previous prime is 8286001903. The next prime is 8286001921. The reversal of 8286001920 is 291006828.

8286001920 is a `hidden beast` number, since 8 + 28 + 600 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (8286001921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35562124 + ... + 35562356.

It is an arithmetic number, because the mean of its divisors is an integer number (48228180).

Almost surely, 2^8286001920 is an apocalyptic number.

8286001920 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 8286001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17362144800).

8286001920 is an abundant number, since it is smaller than the sum of its proper divisors (26438287680).

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

8286001920 is an equidigital number, since it uses as much as digits as its factorization.

8286001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8286001920 is about 91027.4789280687. The cubic root of 8286001920 is about 2023.5549855621.

The spelling of 8286001920 in words is "eight billion, two hundred eighty-six million, one thousand, nine hundred twenty".