8073648 has 80 divisors (see below), whose sum is σ = 25296000. Its totient is φ = 2445120.

The previous prime is 8073647. The next prime is 8073749. The reversal of 8073648 is 8463708.

8073648 is a `hidden beast` number, since 8 + 0 + 7 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8073641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3903 + ... + 5601.

It is an arithmetic number, because the mean of its divisors is an integer number (316200).

Almost surely, 2^8073648 is an apocalyptic number.

8073648 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 8073648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648000).

8073648 is an abundant number, since it is smaller than the sum of its proper divisors (17222352).

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

8073648 is a wasteful number, since it uses less digits than its factorization.

8073648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8073648 is about 2841.4165481323. The cubic root of 8073648 is about 200.6118595638.

The spelling of 8073648 in words is "eight million, seventy-three thousand, six hundred forty-eight".