5987920 has 60 divisors (see below), whose sum is σ = 14580540. Its totient is φ = 2286592.

The previous prime is 5987911. The next prime is 5987921. The reversal of 5987920 is 297895.

It can be written as a sum of positive squares in 6 ways, for example, as 266256 + 5721664 = 516^2 + 2392^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5987921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67236 + ... + 67324.

It is an arithmetic number, because the mean of its divisors is an integer number (243009).

Almost surely, 2^5987920 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 5987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290270).

5987920 is an abundant number, since it is smaller than the sum of its proper divisors (8592620).

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

5987920 is a wasteful number, since it uses less digits than its factorization.

5987920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 5987920 is about 2447.0226807286. The cubic root of 5987920 is about 181.5900283682.

The spelling of 5987920 in words is "five million, nine hundred eighty-seven thousand, nine hundred twenty".