5265840 has 80 divisors (see below), whose sum is σ = 16793568. Its totient is φ = 1363968.

The previous prime is 5265829. The next prime is 5265847. The reversal of 5265840 is 485625.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 5265798 and 5265807.

It is not an unprimeable number, because it can be changed into a prime (5265847) 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, 8584 + ... + 9176.

Almost surely, 2^5265840 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 5265840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396784).

5265840 is an abundant number, since it is smaller than the sum of its proper divisors (11527728).

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

5265840 is a wasteful number, since it uses less digits than its factorization.

5265840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5265840 is about 2294.7418155427. The cubic root of 5265840 is about 173.9759512278.

5265840 divided by its sum of digits (30) gives a triangular number (175528 = T₅₉₂).

It can be divided in two parts, 5265 and 840, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5265840 in words is "five million, two hundred sixty-five thousand, eight hundred forty".