8127040 has 56 divisors (see below), whose sum is σ = 19613880. Its totient is φ = 3207168.

The previous prime is 8127029. The next prime is 8127083. The reversal of 8127040 is 407218.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 7573504 = 744^2 + 2752^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34764 + ... + 34996.

Almost surely, 2^8127040 is an apocalyptic number.

8127040 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 8127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9806940).

8127040 is an abundant number, since it is smaller than the sum of its proper divisors (11486840).

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

8127040 is a wasteful number, since it uses less digits than its factorization.

8127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 8127040 is about 2850.7963799612. The cubic root of 8127040 is about 201.0531117124.

The spelling of 8127040 in words is "eight million, one hundred twenty-seven thousand, forty".