5956830 has 72 divisors (see below), whose sum is σ = 17054856. Its totient is φ = 1441440.

The previous prime is 5956807. The next prime is 5956831. The reversal of 5956830 is 386595.

5956830 is a `hidden beast` number, since 595 + 68 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5956831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10617 + ... + 11163.

It is an arithmetic number, because the mean of its divisors is an integer number (236873).

Almost surely, 2^5956830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5956830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527428).

5956830 is an abundant number, since it is smaller than the sum of its proper divisors (11098026).

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

5956830 is a wasteful number, since it uses less digits than its factorization.

5956830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5956830 is about 2440.6617954973. The cubic root of 5956830 is about 181.2752037880.

It can be divided in two parts, 5956 and 830, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 5956830 in words is "five million, nine hundred fifty-six thousand, eight hundred thirty".