5126688 has 72 divisors (see below), whose sum is σ = 16668288. Its totient is φ = 1464192.

The previous prime is 5126669. The next prime is 5126689. The reversal of 5126688 is 8866215.

It is a happy number.

5126688 is a `hidden beast` number, since 512 + 66 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (5126689) 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, 745 + ... + 3287.

It is an arithmetic number, because the mean of its divisors is an integer number (231504).

Almost surely, 2^5126688 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 5126688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334144).

5126688 is an abundant number, since it is smaller than the sum of its proper divisors (11541600).

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

5126688 is a wasteful number, since it uses less digits than its factorization.

5126688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2555 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 5126688 is about 2264.2190706732. The cubic root of 5126688 is about 172.4297886916.

The spelling of 5126688 in words is "five million, one hundred twenty-six thousand, six hundred eighty-eight".