8120607456 has 48 divisors (see below), whose sum is σ = 22956336144. Its totient is φ = 2498648064.

The previous prime is 8120607433. The next prime is 8120607461. The reversal of 8120607456 is 6547060218.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3252201 + ... + 3254696.

It is an arithmetic number, because the mean of its divisors is an integer number (478257003).

Almost surely, 2^8120607456 is an apocalyptic number.

It is an amenable number.

8120607456 is an abundant number, since it is smaller than the sum of its proper divisors (14835728688).

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

8120607456 is a wasteful number, since it uses less digits than its factorization.

8120607456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6506923 (or 6506915 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 8120607456 is about 90114.4131424047. The cubic root of 8120607456 is about 2010.0005326599. Note that the first 3 decimals are identical.

The spelling of 8120607456 in words is "eight billion, one hundred twenty million, six hundred seven thousand, four hundred fifty-six".