5964960 has 144 divisors (see below), whose sum is σ = 20424096. Its totient is φ = 1462272.

The previous prime is 5964949. The next prime is 5964979. The reversal of 5964960 is 694695.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138699 + ... + 138741.

It is an arithmetic number, because the mean of its divisors is an integer number (141834).

Almost surely, 2^5964960 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 5964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10212048).

5964960 is an abundant number, since it is smaller than the sum of its proper divisors (14459136).

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

5964960 is a wasteful number, since it uses less digits than its factorization.

5964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 5964960 is about 2442.3267594652. The cubic root of 5964960 is about 181.3576356317.

The spelling of 5964960 in words is "five million, nine hundred sixty-four thousand, nine hundred sixty".