5360768 has 64 divisors (see below), whose sum is σ = 12664320. Its totient is φ = 2211840.

The previous prime is 5360759. The next prime is 5360783. The reversal of 5360768 is 8670635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 27680 + ... + 27872.

It is an arithmetic number, because the mean of its divisors is an integer number (197880).

Almost surely, 2^5360768 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 5360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332160).

5360768 is an abundant number, since it is smaller than the sum of its proper divisors (7303552).

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

5360768 is a wasteful number, since it uses less digits than its factorization.

5360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 5360768 is about 2315.3332373548. Note that the first 3 decimals coincide. The cubic root of 5360768 is about 175.0151605913.

The spelling of 5360768 in words is "five million, three hundred sixty thousand, seven hundred sixty-eight".