8033680 has 40 divisors (see below), whose sum is σ = 18840312. Its totient is φ = 3185664.

The previous prime is 8033671. The next prime is 8033689. The reversal of 8033680 is 863308.

It is an interprime number because it is at equal distance from previous prime (8033671) and next prime (8033689).

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 4822416 = 1792^2 + 2196^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8033689) 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, 10594 + ... + 11326.

Almost surely, 2^8033680 is an apocalyptic number.

8033680 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 8033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9420156).

8033680 is an abundant number, since it is smaller than the sum of its proper divisors (10806632).

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

8033680 is a wasteful number, since it uses less digits than its factorization.

8033680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 8033680 is about 2834.3747105843. The cubic root of 8033680 is about 200.2802737164.

Adding to 8033680 its reverse (863308), we get a palindrome (8896988).

The spelling of 8033680 in words is "eight million, thirty-three thousand, six hundred eighty".