5329120 has 48 divisors (see below), whose sum is σ = 13260240. Its totient is φ = 2018304.

The previous prime is 5329099. The next prime is 5329141. The reversal of 5329120 is 219235.

5329120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5329099) and next prime (5329141).

It is a super-3 number, since 3×5329120³ (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5329091 and 5329100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2164 + ... + 3916.

It is an arithmetic number, because the mean of its divisors is an integer number (276255).

Almost surely, 2^5329120 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 5329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630120).

5329120 is an abundant number, since it is smaller than the sum of its proper divisors (7931120).

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

5329120 is a wasteful number, since it uses less digits than its factorization.

5329120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 5329120 is about 2308.4886830998. The cubic root of 5329120 is about 174.6700722552.

The spelling of 5329120 in words is "five million, three hundred twenty-nine thousand, one hundred twenty".