8107648 has 32 divisors (see below), whose sum is σ = 16343460. Its totient is φ = 4005888.

The previous prime is 8107621. The next prime is 8107651. The reversal of 8107648 is 8467018.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 222784 = 2808^2 + 472^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×8107648³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12090 + ... + 12742.

Almost surely, 2^8107648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171730).

8107648 is an abundant number, since it is smaller than the sum of its proper divisors (8235812).

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

8107648 is an equidigital number, since it uses as much as digits as its factorization.

8107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 8107648 is about 2847.3931937827. The cubic root of 8107648 is about 200.8930728354.

It can be divided in two parts, 8 and 107648, that multiplied together give a square (861184 = 928²).

The spelling of 8107648 in words is "eight million, one hundred seven thousand, six hundred forty-eight".