8514400320 has 112 divisors (see below), whose sum is σ = 30036942720. Its totient is φ = 2270504448.

The previous prime is 8514400303. The next prime is 8514400357. The reversal of 8514400320 is 230044158.

It is a super-2 number, since 2×8514400320² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484092 + ... + 501371.

Almost surely, 2^8514400320 is an apocalyptic number.

8514400320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8514400320 is an abundant number, since it is smaller than the sum of its proper divisors (21522542400).

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

8514400320 is a wasteful number, since it uses less digits than its factorization.

8514400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985489 (or 985473 counting only the distinct ones).

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

The square root of 8514400320 is about 92273.5082241918. The cubic root of 8514400320 is about 2041.9793936698.

Adding to 8514400320 its reverse (230044158), we get a palindrome (8744444478).

The spelling of 8514400320 in words is "eight billion, five hundred fourteen million, four hundred thousand, three hundred twenty".