5126760 has 128 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 1324800.

The previous prime is 5126753. The next prime is 5126767. The reversal of 5126760 is 676215.

It is an interprime number because it is at equal distance from previous prime (5126753) and next prime (5126767).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5126767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50710 + ... + 50810.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 2^5126760 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 5126760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

5126760 is an abundant number, since it is smaller than the sum of its proper divisors (12498840).

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

5126760 is a wasteful number, since it uses less digits than its factorization.

5126760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5126760 is about 2264.2349701389. The cubic root of 5126760 is about 172.4305958980.

It can be divided in two parts, 5126 and 760, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5126760 in words is "five million, one hundred twenty-six thousand, seven hundred sixty".