5956040 has 32 divisors (see below), whose sum is σ = 13626360. Its totient is φ = 2342400.

The previous prime is 5956037. The next prime is 5956073. The reversal of 5956040 is 406595.

It can be written as a sum of positive squares in 4 ways, for example, as 1737124 + 4218916 = 1318^2 + 2054^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5955994 and 5956012.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1220 + ... + 3660.

Almost surely, 2^5956040 is an apocalyptic number.

It is a pronic number, being equal to 2440×2441.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5956040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813180).

5956040 is an abundant number, since it is smaller than the sum of its proper divisors (7670320).

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

5956040 is a wasteful number, since it uses less digits than its factorization.

5956040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 5956040 is about 2440.4999487810. The cubic root of 5956040 is about 181.2671898084.

The spelling of 5956040 in words is "five million, nine hundred fifty-six thousand, forty".