5736960 has 160 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 1511424.

The previous prime is 5736919. The next prime is 5736979. The reversal of 5736960 is 696375.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69079 + ... + 69161.

It is an arithmetic number, because the mean of its divisors is an integer number (128898).

Almost surely, 2^5736960 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 5736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

5736960 is an abundant number, since it is smaller than the sum of its proper divisors (14886720).

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

5736960 is an equidigital number, since it uses as much as digits as its factorization.

5736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5736960 is about 2395.1951903759. The cubic root of 5736960 is about 179.0168622214.

The spelling of 5736960 in words is "five million, seven hundred thirty-six thousand, nine hundred sixty".