5153688 has 48 divisors (see below), whose sum is σ = 14414400. Its totient is φ = 1661760.

The previous prime is 5153663. The next prime is 5153689. The reversal of 5153688 is 8863515.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153689) 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 11 ways as a sum of consecutive naturals, for example, 1078 + ... + 3386.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 2^5153688 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 5153688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207200).

5153688 is an abundant number, since it is smaller than the sum of its proper divisors (9260712).

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

5153688 is a wasteful number, since it uses less digits than its factorization.

5153688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2345 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 5153688 is about 2270.1735616468. The cubic root of 5153688 is about 172.7319626696.

The spelling of 5153688 in words is "five million, one hundred fifty-three thousand, six hundred eighty-eight".