5963136 has 64 divisors (see below), whose sum is σ = 16193520. Its totient is φ = 1943552.

The previous prime is 5963119. The next prime is 5963147. The reversal of 5963136 is 6313695.

5963136 = T₂₃₉ + T₂₄₀ + ... + T₃₆₆.

5963136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 5963097 and 5963106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20206 + ... + 20498.

Almost surely, 2^5963136 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 5963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096760).

5963136 is an abundant number, since it is smaller than the sum of its proper divisors (10230384).

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

5963136 is a wasteful number, since it uses less digits than its factorization.

5963136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its digits is 14580, while the sum is 33.

The square root of 5963136 is about 2441.9533165071. The cubic root of 5963136 is about 181.3391482180.

The spelling of 5963136 in words is "five million, nine hundred sixty-three thousand, one hundred thirty-six".