5712960 has 112 divisors (see below), whose sum is σ = 19824192. Its totient is φ = 1382400.

The previous prime is 5712953. The next prime is 5712961. The reversal of 5712960 is 692175.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5712961) 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, 10290 + ... + 10830.

Almost surely, 2^5712960 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 5712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9912096).

5712960 is an abundant number, since it is smaller than the sum of its proper divisors (14111232).

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

5712960 is a wasteful number, since it uses less digits than its factorization.

5712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 5712960 is about 2390.1799095466. The cubic root of 5712960 is about 178.7668802420.

It can be divided in two parts, 57 and 12960, that multiplied together give a triangular number (738720 = T₁₂₁₅).

The spelling of 5712960 in words is "five million, seven hundred twelve thousand, nine hundred sixty".