8040144 has 40 divisors (see below), whose sum is σ = 23738560. Its totient is φ = 2297088.

The previous prime is 8040121. The next prime is 8040157. The reversal of 8040144 is 4410408.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 8040144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11629 + ... + 12300.

It is an arithmetic number, because the mean of its divisors is an integer number (593464).

Almost surely, 2^8040144 is an apocalyptic number.

8040144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8040144 is an abundant number, since it is smaller than the sum of its proper divisors (15698416).

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

8040144 is a wasteful number, since it uses less digits than its factorization.

8040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23947 (or 23941 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 8040144 is about 2835.5147680800. The cubic root of 8040144 is about 200.3339753253. Note that the first 3 decimals are identical.

The spelling of 8040144 in words is "eight million, forty thousand, one hundred forty-four".