5088160 has 144 divisors (see below), whose sum is σ = 15513120. Its totient is φ = 1559040.

The previous prime is 5088157. The next prime is 5088169. The reversal of 5088160 is 618805.

5088160 = T₄₃₁ + T₄₃₂ + ... + T₄₇₉.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5088169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86211 + ... + 86269.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^5088160 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 5088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756560).

5088160 is an abundant number, since it is smaller than the sum of its proper divisors (10424960).

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

5088160 is a wasteful number, since it uses less digits than its factorization.

5088160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 5088160 is about 2255.6950148458. The cubic root of 5088160 is about 171.9967549415.

It can be divided in two parts, 508 and 8160, that added together give a palindrome (8668).

The spelling of 5088160 in words is "five million, eighty-eight thousand, one hundred sixty".