5335120 has 60 divisors (see below), whose sum is σ = 14439924. Its totient is φ = 1827840.

The previous prime is 5335117. The next prime is 5335129. The reversal of 5335120 is 215335.

5335120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 3952144 = 1176^2 + 1988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335129) 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, 3240 + ... + 4600.

Almost surely, 2^5335120 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 5335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219962).

5335120 is an abundant number, since it is smaller than the sum of its proper divisors (9104804).

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

5335120 is a wasteful number, since it uses less digits than its factorization.

5335120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 5335120 is about 2309.7878690477. The cubic root of 5335120 is about 174.7356007328.

The spelling of 5335120 in words is "five million, three hundred thirty-five thousand, one hundred twenty".