8024402160 has 160 divisors (see below), whose sum is σ = 27692424000. Its totient is φ = 2135752704.

The previous prime is 8024402153. The next prime is 8024402189. The reversal of 8024402160 is 612044208.

8024402160 is a `hidden beast` number, since 8 + 0 + 2 + 440 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225776 + ... + 1232304.

It is an arithmetic number, because the mean of its divisors is an integer number (173077650).

Almost surely, 2^8024402160 is an apocalyptic number.

8024402160 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 8024402160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13846212000).

8024402160 is an abundant number, since it is smaller than the sum of its proper divisors (19668021840).

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

8024402160 is a wasteful number, since it uses less digits than its factorization.

8024402160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7108 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8024402160 is about 89579.0274562076. The cubic root of 8024402160 is about 2002.0314492417.

Adding to 8024402160 its reverse (612044208), we get a palindrome (8636446368).

The spelling of 8024402160 in words is "eight billion, twenty-four million, four hundred two thousand, one hundred sixty".