5726880 has 144 divisors (see below), whose sum is σ = 20226024. Its totient is φ = 1474560.

The previous prime is 5726879. The next prime is 5726881. The reversal of 5726880 is 886275.

5726880 is a `hidden beast` number, since 572 + 6 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5726879) and next prime (5726881).

It can be written as a sum of positive squares in 4 ways, for example, as 2944656 + 2782224 = 1716^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (5726881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58992 + ... + 59088.

Almost surely, 2^5726880 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 5726880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10113012).

5726880 is an abundant number, since it is smaller than the sum of its proper divisors (14499144).

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

5726880 is a wasteful number, since it uses less digits than its factorization.

5726880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5726880 is about 2393.0900526307. The cubic root of 5726880 is about 178.9119548692.

The spelling of 5726880 in words is "five million, seven hundred twenty-six thousand, eight hundred eighty".