5782656 has 96 divisors (see below), whose sum is σ = 17221680. Its totient is φ = 1704960.

The previous prime is 5782643. The next prime is 5782657. The reversal of 5782656 is 6562875.

It is a happy number.

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

It is a super-2 number, since 2×5782656² = 66878220828672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5782657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156270 + ... + 156306.

Almost surely, 2^5782656 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 5782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8610840).

5782656 is an abundant number, since it is smaller than the sum of its proper divisors (11439024).

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

5782656 is a wasteful number, since it uses less digits than its factorization.

5782656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 53 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 5782656 is about 2404.7153677722. The cubic root of 5782656 is about 179.4909071725.

The spelling of 5782656 in words is "five million, seven hundred eighty-two thousand, six hundred fifty-six".