8465040 has 80 divisors (see below), whose sum is σ = 29164800. Its totient is φ = 2256768.

The previous prime is 8465033. The next prime is 8465053. The reversal of 8465040 is 405648.

8465040 is a `hidden beast` number, since 8 + 4 + 650 + 4 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 8464995 and 8465013.

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 15 ways as a sum of consecutive naturals, for example, 201 + ... + 4119.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^8465040 is an apocalyptic number.

8465040 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 8465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582400).

8465040 is an abundant number, since it is smaller than the sum of its proper divisors (20699760).

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

8465040 is a wasteful number, since it uses less digits than its factorization.

8465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8465040 is about 2909.4741792977. The cubic root of 8465040 is about 203.8025771700.

It can be divided in two parts, 846 and 5040, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 8465040 in words is "eight million, four hundred sixty-five thousand, forty".