8145040 has 80 divisors (see below), whose sum is σ = 20610288. Its totient is φ = 2981888.

The previous prime is 8145031. The next prime is 8145043. The reversal of 8145040 is 405418.

It can be written as a sum of positive squares in 8 ways, for example, as 147456 + 7997584 = 384^2 + 2828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8145043) 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, 72024 + ... + 72136.

Almost surely, 2^8145040 is an apocalyptic number.

8145040 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 8145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305144).

8145040 is an abundant number, since it is smaller than the sum of its proper divisors (12465248).

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

8145040 is a wasteful number, since it uses less digits than its factorization.

8145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 8145040 is about 2853.9516464019. The cubic root of 8145040 is about 201.2014349848.

The spelling of 8145040 in words is "eight million, one hundred forty-five thousand, forty".