5971968 has 98 divisors (see below), whose sum is σ = 17906619. Its totient is φ = 1990656.

The previous prime is 5971951. The next prime is 5971993. The reversal of 5971968 is 8691795.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)³ ⋅ (3!)³ ⋅ 2!.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 2985984 = 1728^2 + 1728^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1728.

Its product of digits (136080) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6 and base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 1990655 + 1990656 + 1990657.

Almost surely, 2^5971968 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 5971968

5971968 is an abundant number, since it is smaller than the sum of its proper divisors (11934651).

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

5971968 is an frugal number, since it uses more digits than its factorization.

5971968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 5 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 5971968 is about 2443.7610357807. The cubic root of 5971968 is about 181.4286311849.

It can be divided in two parts, 59 and 71968, that added together give a palindrome (72027).

The spelling of 5971968 in words is "five million, nine hundred seventy-one thousand, nine hundred sixty-eight".