8041680 has 200 divisors, whose sum is σ = 29977992. Its totient is φ = 1990656.

The previous prime is 8041669. The next prime is 8041681. The reversal of 8041680 is 861408.

8041680 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 6170256 = 1368^2 + 2484^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8041681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110124 + ... + 110196.

Almost surely, 2^8041680 is an apocalyptic number.

8041680 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 8041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988996).

8041680 is an abundant number, since it is smaller than the sum of its proper divisors (21936312).

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

8041680 is a wasteful number, since it uses less digits than its factorization.

8041680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8041680 is about 2835.7856054363. The cubic root of 8041680 is about 200.3467318710.

The spelling of 8041680 in words is "eight million, forty-one thousand, six hundred eighty".