5736480 has 192 divisors, whose sum is σ = 20684160. Its totient is φ = 1327104.

The previous prime is 5736439. The next prime is 5736481. The reversal of 5736480 is 846375.

5736480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (5736481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155022 + ... + 155058.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^5736480 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 5736480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

5736480 is an abundant number, since it is smaller than the sum of its proper divisors (14947680).

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

5736480 is a wasteful number, since it uses less digits than its factorization.

5736480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5736480 is about 2395.0949876779. The cubic root of 5736480 is about 179.0118694209.

It can be divided in two parts, 5736 and 480, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 5736480 in words is "five million, seven hundred thirty-six thousand, four hundred eighty".