5359968 has 72 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 1734912.

The previous prime is 5359961. The next prime is 5359987. The reversal of 5359968 is 8699535.

5359968 is a `hidden beast` number, since 53 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5359968² = 57458513922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5359961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10405 + ... + 10907.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 2^5359968 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 5359968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

5359968 is an abundant number, since it is smaller than the sum of its proper divisors (10325520).

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

5359968 is a wasteful number, since it uses less digits than its factorization.

5359968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 5359968 is about 2315.1604696003. The cubic root of 5359968 is about 175.0064541837.

The spelling of 5359968 in words is "five million, three hundred fifty-nine thousand, nine hundred sixty-eight".