5291120 has 60 divisors (see below), whose sum is σ = 13172520. Its totient is φ = 1971072.

The previous prime is 5291093. The next prime is 5291123. The reversal of 5291120 is 211925.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5291092 and 5291101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5291123) 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, 89651 + ... + 89709.

It is an arithmetic number, because the mean of its divisors is an integer number (219542).

Almost surely, 2^5291120 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 5291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586260).

5291120 is an abundant number, since it is smaller than the sum of its proper divisors (7881400).

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

5291120 is a wasteful number, since it uses less digits than its factorization.

5291120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 5291120 is about 2300.2434653749. The cubic root of 5291120 is about 174.2539121150.

The spelling of 5291120 in words is "five million, two hundred ninety-one thousand, one hundred twenty".