8514933840 has 480 divisors, whose sum is σ = 34610284800. Its totient is φ = 1944746496.

The previous prime is 8514933787. The next prime is 8514933841. The reversal of 8514933840 is 483394158.

8514933840 is a `hidden beast` number, since 8 + 514 + 93 + 3 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8514933841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6667282 + ... + 6668558.

It is an arithmetic number, because the mean of its divisors is an integer number (72104760).

Almost surely, 2^8514933840 is an apocalyptic number.

8514933840 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 8514933840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17305142400).

8514933840 is an abundant number, since it is smaller than the sum of its proper divisors (26095350960).

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

8514933840 is a wasteful number, since it uses less digits than its factorization.

8514933840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8514933840 is about 92276.3991495117. The cubic root of 8514933840 is about 2042.0220435356.

The spelling of 8514933840 in words is "eight billion, five hundred fourteen million, nine hundred thirty-three thousand, eight hundred forty".