5307120 has 280 divisors, whose sum is σ = 22769376. Its totient is φ = 1119744.

The previous prime is 5307091. The next prime is 5307139. The reversal of 5307120 is 217035.

5307120 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (18).

5307120 is strictly pandigital in base 8.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 5307093 and 5307102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 408234 + ... + 408246.

Almost surely, 2^5307120 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 5307120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11384688).

5307120 is an abundant number, since it is smaller than the sum of its proper divisors (17462256).

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

5307120 is a wasteful number, since it uses less digits than its factorization.

5307120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5307120 is about 2303.7187328318. The cubic root of 5307120 is about 174.4293795018.

The spelling of 5307120 in words is "five million, three hundred seven thousand, one hundred twenty".