5976960 has 128 divisors (see below), whose sum is σ = 20856960. Its totient is φ = 1443840.

The previous prime is 5976959. The next prime is 5976961. The reversal of 5976960 is 696795.

It is an interprime number because it is at equal distance from previous prime (5976959) and next prime (5976961).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5976961) 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, 20979 + ... + 21261.

It is an arithmetic number, because the mean of its divisors is an integer number (162945).

Almost surely, 2^5976960 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 5976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10428480).

5976960 is an abundant number, since it is smaller than the sum of its proper divisors (14880000).

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

5976960 is a wasteful number, since it uses less digits than its factorization.

5976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 5976960 is about 2444.7821988881. The cubic root of 5976960 is about 181.4791694935.

It can be divided in two parts, 597 and 6960, that added together give a palindrome (7557).

The spelling of 5976960 in words is "five million, nine hundred seventy-six thousand, nine hundred sixty".