5345760 has 192 divisors, whose sum is σ = 20224512. Its totient is φ = 1161216.

The previous prime is 5345759. The next prime is 5345761. The reversal of 5345760 is 675435.

It is an interprime number because it is at equal distance from previous prime (5345759) and next prime (5345761).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124299 + ... + 124341.

It is an arithmetic number, because the mean of its divisors is an integer number (105336).

Almost surely, 2^5345760 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 5345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112256).

5345760 is an abundant number, since it is smaller than the sum of its proper divisors (14878752).

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

5345760 is a wasteful number, since it uses less digits than its factorization.

5345760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 5345760 is about 2312.0899636476. The cubic root of 5345760 is about 174.8516838583.

It can be divided in two parts, 5345 and 760, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5345760 in words is "five million, three hundred forty-five thousand, seven hundred sixty".