8165440 has 112 divisors (see below), whose sum is σ = 21945600. Its totient is φ = 2875392.

The previous prime is 8165429. The next prime is 8165447. The reversal of 8165440 is 445618.

8165440 = T₁₉₃ + T₁₉₄ + ... + T₃₈₂.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8165399 and 8165408.

It is not an unprimeable number, because it can be changed into a prime (8165447) 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, 103321 + ... + 103399.

Almost surely, 2^8165440 is an apocalyptic number.

8165440 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 8165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

8165440 is an abundant number, since it is smaller than the sum of its proper divisors (13780160).

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

8165440 is a wasteful number, since it uses less digits than its factorization.

8165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 8165440 is about 2857.5234032287. The cubic root of 8165440 is about 201.3692707608.

The spelling of 8165440 in words is "eight million, one hundred sixty-five thousand, four hundred forty".