8029648 has 40 divisors (see below), whose sum is σ = 17382816. Its totient is φ = 3561600.

The previous prime is 8029643. The next prime is 8029649. The reversal of 8029648 is 8469208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8029643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7038 + ... + 8098.

Almost surely, 2^8029648 is an apocalyptic number.

8029648 is a gapful number since it is divisible by the number (88) 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 8029648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8691408).

8029648 is an abundant number, since it is smaller than the sum of its proper divisors (9353168).

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

8029648 is a wasteful number, since it uses less digits than its factorization.

8029648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 8029648 is about 2833.6633533290. The cubic root of 8029648 is about 200.2467620838.

Subtracting from 8029648 its product of nonzero digits (27648), we obtain a triangular number (8002000 = T₄₀₀₀).

The spelling of 8029648 in words is "eight million, twenty-nine thousand, six hundred forty-eight".