5345120 has 48 divisors (see below), whose sum is σ = 13780368. Its totient is φ = 1943040.

The previous prime is 5345107. The next prime is 5345141. The reversal of 5345120 is 215435.

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 = 5345092 and 5345101.

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, 242 + ... + 3278.

It is an arithmetic number, because the mean of its divisors is an integer number (287091).

Almost surely, 2^5345120 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 5345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890184).

5345120 is an abundant number, since it is smaller than the sum of its proper divisors (8435248).

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

5345120 is a wasteful number, since it uses less digits than its factorization.

5345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5345120 is about 2311.9515565859. The cubic root of 5345120 is about 174.8447057708.

The spelling of 5345120 in words is "five million, three hundred forty-five thousand, one hundred twenty".