5382960 has 80 divisors (see below), whose sum is σ = 18213120. Its totient is φ = 1304320.

The previous prime is 5382929. The next prime is 5382961. The reversal of 5382960 is 692835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621 + ... + 3659.

It is an arithmetic number, because the mean of its divisors is an integer number (227664).

Almost surely, 2^5382960 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 5382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

5382960 is an abundant number, since it is smaller than the sum of its proper divisors (12830160).

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

5382960 is a wasteful number, since it uses less digits than its factorization.

5382960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5382960 is about 2320.1206865161. The cubic root of 5382960 is about 175.2563318368.

The spelling of 5382960 in words is "five million, three hundred eighty-two thousand, nine hundred sixty".