5956416 has 84 divisors (see below), whose sum is σ = 17751552. Its totient is φ = 1980288.

The previous prime is 5956399. The next prime is 5956417. The reversal of 5956416 is 6146595.

5956416 is a `hidden beast` number, since 5 + 9 + 5 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5956417) 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, 15361 + ... + 15743.

It is an arithmetic number, because the mean of its divisors is an integer number (211328).

Almost surely, 2^5956416 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 5956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8875776).

5956416 is an abundant number, since it is smaller than the sum of its proper divisors (11795136).

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

5956416 is an equidigital number, since it uses as much as digits as its factorization.

5956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

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

The square root of 5956416 is about 2440.5769809617. The cubic root of 5956416 is about 181.2710041453.

The spelling of 5956416 in words is "five million, nine hundred fifty-six thousand, four hundred sixteen".