5165940 has 96 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 1230336.

The previous prime is 5165939. The next prime is 5165947. The reversal of 5165940 is 495615.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5165898 and 5165907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5165947) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28771 + ... + 28949.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 2^5165940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5165940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

5165940 is an abundant number, since it is smaller than the sum of its proper divisors (10921740).

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

5165940 is a wasteful number, since it uses less digits than its factorization.

5165940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5165940 is about 2272.8704318548. The cubic root of 5165940 is about 172.8687344444.

It can be divided in two parts, 5165 and 940, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5165940 in words is "five million, one hundred sixty-five thousand, nine hundred forty".