5436960 has 96 divisors (see below), whose sum is σ = 17563392. Its totient is φ = 1413120.

The previous prime is 5436943. The next prime is 5436961. The reversal of 5436960 is 696345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5436961) 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, 22440 + ... + 22680.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 2^5436960 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 5436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781696).

5436960 is an abundant number, since it is smaller than the sum of its proper divisors (12126432).

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

5436960 is a wasteful number, since it uses less digits than its factorization.

5436960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 5436960 is about 2331.7289722436. The cubic root of 5436960 is about 175.8404200903.

It can be divided in two parts, 543 and 6960, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 5436960 in words is "five million, four hundred thirty-six thousand, nine hundred sixty".