5968620 has 96 divisors (see below), whose sum is σ = 21235200. Its totient is φ = 1363392.

The previous prime is 5968609. The next prime is 5968621. The reversal of 5968620 is 268695.

5968620 = T₅₀ + T₅₁ + ... + T₃₂₉.

5968620 is a `hidden beast` number, since 596 + 8 + 62 + 0 = 666.

5968620 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5968621) 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, 2991 + ... + 4569.

It is an arithmetic number, because the mean of its divisors is an integer number (221200).

Almost surely, 2^5968620 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 5968620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617600).

5968620 is an abundant number, since it is smaller than the sum of its proper divisors (15266580).

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

5968620 is a wasteful number, since it uses less digits than its factorization.

5968620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5968620 is about 2443.0759300521. The cubic root of 5968620 is about 181.3947207216.

It can be divided in two parts, 596 and 8620, that added together give a square (9216 = 96²).

The spelling of 5968620 in words is "five million, nine hundred sixty-eight thousand, six hundred twenty".