8023134240 has 480 divisors, whose sum is σ = 31166239104. Its totient is φ = 1927618560.

The previous prime is 8023134239. The next prime is 8023134247. The reversal of 8023134240 is 424313208.

8023134240 is a `hidden beast` number, since 8 + 0 + 231 + 3 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (8023134247) 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, 23807352 + ... + 23807688.

Almost surely, 2^8023134240 is an apocalyptic number.

8023134240 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 8023134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15583119552).

8023134240 is an abundant number, since it is smaller than the sum of its proper divisors (23143104864).

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

8023134240 is a wasteful number, since it uses less digits than its factorization.

8023134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8023134240 is about 89571.9500736698. The cubic root of 8023134240 is about 2001.9259980038.

Adding to 8023134240 its reverse (424313208), we get a palindrome (8447447448).

The spelling of 8023134240 in words is "eight billion, twenty-three million, one hundred thirty-four thousand, two hundred forty".