8456720 has 40 divisors (see below), whose sum is σ = 20200344. Its totient is φ = 3290112.

The previous prime is 8456717. The next prime is 8456731. The reversal of 8456720 is 276548.

It can be written as a sum of positive squares in 4 ways, for example, as 2999824 + 5456896 = 1732^2 + 2336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×8456720² = 143032226316800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1532 + ... + 4388.

Almost surely, 2^8456720 is an apocalyptic number.

8456720 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 8456720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100172).

8456720 is an abundant number, since it is smaller than the sum of its proper divisors (11743624).

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

8456720 is a wasteful number, since it uses less digits than its factorization.

8456720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 8456720 is about 2908.0440161731. The cubic root of 8456720 is about 203.7357850748.

The spelling of 8456720 in words is "eight million, four hundred fifty-six thousand, seven hundred twenty".