5093760 has 128 divisors (see below), whose sum is σ = 18604800. Its totient is φ = 1161216.

The previous prime is 5093749. The next prime is 5093771. The reversal of 5093760 is 673905.

It is an interprime number because it is at equal distance from previous prime (5093749) and next prime (5093771).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13251 + ... + 13629.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

Almost surely, 2^5093760 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 5093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302400).

5093760 is an abundant number, since it is smaller than the sum of its proper divisors (13511040).

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

5093760 is a wasteful number, since it uses less digits than its factorization.

5093760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 5093760 is about 2256.9359760525. The cubic root of 5093760 is about 172.0598313572.

The spelling of 5093760 in words is "five million, ninety-three thousand, seven hundred sixty".