5957136 has 60 divisors (see below), whose sum is σ = 17095260. Its totient is φ = 1935360.

The previous prime is 5957129. The next prime is 5957137. The reversal of 5957136 is 6317595.

It is a happy number.

5957136 is a `hidden beast` number, since 59 + 571 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 5035536 = 960^2 + 2244^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5957136.

It is not an unprimeable number, because it can be changed into a prime (5957137) 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, 5400 + ... + 6408.

It is an arithmetic number, because the mean of its divisors is an integer number (284921).

Almost surely, 2^5957136 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 5957136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547630).

5957136 is an abundant number, since it is smaller than the sum of its proper divisors (11138124).

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

5957136 is a wasteful number, since it uses less digits than its factorization.

5957136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 5957136 is about 2440.7244826076. The cubic root of 5957136 is about 181.2783077467.

The spelling of 5957136 in words is "five million, nine hundred fifty-seven thousand, one hundred thirty-six".