5956000 has 48 divisors (see below), whose sum is σ = 14643720. Its totient is φ = 2380800.

The previous prime is 5955959. The next prime is 5956003. The reversal of 5956000 is 6595.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 4963984 = 996^2 + 2228^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5956003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3256 + ... + 4744.

Almost surely, 2^5956000 is an apocalyptic number.

5956000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321860).

5956000 is an abundant number, since it is smaller than the sum of its proper divisors (8687720).

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

5956000 is a wasteful number, since it uses less digits than its factorization.

5956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 5956000 is about 2440.4917537251. The cubic root of 5956000 is about 181.2667840185.

The spelling of 5956000 in words is "five million, nine hundred fifty-six thousand".