5256160 has 144 divisors (see below), whose sum is σ = 16130016. Its totient is φ = 1575936.

The previous prime is 5256137. The next prime is 5256197. The reversal of 5256160 is 616525.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276631 + ... + 276649.

It is an arithmetic number, because the mean of its divisors is an integer number (112014).

Almost surely, 2^5256160 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 5256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8065008).

5256160 is an abundant number, since it is smaller than the sum of its proper divisors (10873856).

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

5256160 is a wasteful number, since it uses less digits than its factorization.

5256160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 5256160 is about 2292.6316756078. The cubic root of 5256160 is about 173.8692813078.

It can be divided in two parts, 5 and 256160, that multiplied together give a triangular number (1280800 = T₁₆₀₀).

The spelling of 5256160 in words is "five million, two hundred fifty-six thousand, one hundred sixty".