5126880 has 96 divisors (see below), whose sum is σ = 17635968. Its totient is φ = 1241600.

The previous prime is 5126851. The next prime is 5126897. The reversal of 5126880 is 886215.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4795 + ... + 5765.

It is an arithmetic number, because the mean of its divisors is an integer number (183708).

Almost surely, 2^5126880 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 5126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817984).

5126880 is an abundant number, since it is smaller than the sum of its proper divisors (12509088).

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

5126880 is a wasteful number, since it uses less digits than its factorization.

5126880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5126880 is about 2264.2614690004. The cubic root of 5126880 is about 172.4319412253.

It can be divided in two parts, 5126 and 880, that added together give a palindrome (6006).

The spelling of 5126880 in words is "five million, one hundred twenty-six thousand, eight hundred eighty".