8067840 has 144 divisors (see below), whose sum is σ = 28256256. Its totient is φ = 1945600.

The previous prime is 8067827. The next prime is 8067841. The reversal of 8067840 is 487608.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8067841) 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, 42145 + ... + 42335.

It is an arithmetic number, because the mean of its divisors is an integer number (196224).

Almost surely, 2^8067840 is an apocalyptic number.

8067840 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 8067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128).

8067840 is an abundant number, since it is smaller than the sum of its proper divisors (20188416).

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

8067840 is a wasteful number, since it uses less digits than its factorization.

8067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8067840 is about 2840.3943388199. The cubic root of 8067840 is about 200.5637428105.

It can be divided in two parts, 806 and 7840, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 8067840 in words is "eight million, sixty-seven thousand, eight hundred forty".