5968840 has 48 divisors (see below), whose sum is σ = 13929300. Its totient is φ = 2301696.

The previous prime is 5968817. The next prime is 5968843. The reversal of 5968840 is 488695.

It can be written as a sum of positive squares in 6 ways, for example, as 5447556 + 521284 = 2334^2 + 722^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5968793 and 5968802.

It is not an unprimeable number, because it can be changed into a prime (5968843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54706 + ... + 54814.

Almost surely, 2^5968840 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 5968840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964650).

5968840 is an abundant number, since it is smaller than the sum of its proper divisors (7960460).

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

5968840 is a wasteful number, since it uses less digits than its factorization.

5968840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 5968840 is about 2443.1209548444. The cubic root of 5968840 is about 181.3969493970.

The spelling of 5968840 in words is "five million, nine hundred sixty-eight thousand, eight hundred forty".