5975880 has 64 divisors (see below), whose sum is σ = 18878400. Its totient is φ = 1509120.

The previous prime is 5975869. The next prime is 5975881. The reversal of 5975880 is 885795.

5975880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5975880² = 71422283548800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5975881) 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, 970 + ... + 3590.

It is an arithmetic number, because the mean of its divisors is an integer number (294975).

Almost surely, 2^5975880 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 5975880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9439200).

5975880 is an abundant number, since it is smaller than the sum of its proper divisors (12902520).

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

5975880 is a wasteful number, since it uses less digits than its factorization.

5975880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 5975880 is about 2444.5613103377. The cubic root of 5975880 is about 181.4682381109.

The spelling of 5975880 in words is "five million, nine hundred seventy-five thousand, eight hundred eighty".