5380840 has 64 divisors (see below), whose sum is σ = 13199760. Its totient is φ = 1966080.

The previous prime is 5380831. The next prime is 5380841. The reversal of 5380840 is 480835.

5380840 is nontrivially palindromic in base 3 and base 9.

5380840 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

5380840 is a nontrivial binomial coefficient, being equal to C(3281, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 996004 + 4384836 = 998^2 + 2094^2 .

5380840 is an undulating number in base 3.

5380840 is a nontrivial repdigit in base 9.

It is a plaindrome in base 9.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 5380799 and 5380808.

It is not an unprimeable number, because it can be changed into a prime (5380841) by changing a digit.

It is a nontrivial repunit in base 9.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27784 + ... + 27976.

Almost surely, 2^5380840 is an apocalyptic number.

5380840 is the 3280-th triangular number.

5380840 is the 1094-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5380840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599880).

5380840 is an abundant number, since it is smaller than the sum of its proper divisors (7818920).

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

5380840 is a wasteful number, since it uses less digits than its factorization.

5380840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

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

The square root of 5380840 is about 2319.6637687389. The cubic root of 5380840 is about 175.2333214354.

The spelling of 5380840 in words is "five million, three hundred eighty thousand, eight hundred forty".