5963040 has 144 divisors (see below), whose sum is σ = 21051576. Its totient is φ = 1536000.

The previous prime is 5963021. The next prime is 5963047. The reversal of 5963040 is 403695.

It is a happy number.

5963040 is a `hidden beast` number, since 596 + 30 + 40 = 666.

5963040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 1140624 = 2196^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5962995 and 5963013.

It is not an unprimeable number, because it can be changed into a prime (5963047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58990 + ... + 59090.

Almost surely, 2^5963040 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 5963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10525788).

5963040 is an abundant number, since it is smaller than the sum of its proper divisors (15088536).

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

5963040 is a wasteful number, since it uses less digits than its factorization.

5963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5963040 is about 2441.9336600326. The cubic root of 5963040 is about 181.3381750918.

The spelling of 5963040 in words is "five million, nine hundred sixty-three thousand, forty".