5956080 has 160 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 1385472.

The previous prime is 5956073. The next prime is 5956129. The reversal of 5956080 is 806595.

5956080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71719 + ... + 71801.

Almost surely, 2^5956080 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 5956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

5956080 is an abundant number, since it is smaller than the sum of its proper divisors (15042576).

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

5956080 is a wasteful number, since it uses less digits than its factorization.

5956080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5956080 is about 2440.5081438094. The cubic root of 5956080 is about 181.2675955966.

The spelling of 5956080 in words is "five million, nine hundred fifty-six thousand, eighty".