8205420132 has 288 divisors, whose sum is σ = 26978631680. Its totient is φ = 2044465920.

The previous prime is 8205420127. The next prime is 8205420137. The reversal of 8205420132 is 2310245028.

8205420132 is a `hidden beast` number, since 8 + 205 + 420 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (8205420127) and next prime (8205420137).

It is a junction number, because it is equal to n+sod(n) for n = 8205420096 and 8205420105.

It is not an unprimeable number, because it can be changed into a prime (8205420137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4365969 + ... + 4367847.

Almost surely, 2^8205420132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8205420132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13489315840).

8205420132 is an abundant number, since it is smaller than the sum of its proper divisors (18773211548).

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

8205420132 is a wasteful number, since it uses less digits than its factorization.

8205420132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8205420132 is about 90583.7741099365. The cubic root of 8205420132 is about 2016.9738804914.

The spelling of 8205420132 in words is "eight billion, two hundred five million, four hundred twenty thousand, one hundred thirty-two".