5206656 has 128 divisors (see below), whose sum is σ = 17136000. Its totient is φ = 1363968.

The previous prime is 5206639. The next prime is 5206657. The reversal of 5206656 is 6566025.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5206657) 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, 34870 + ... + 35018.

It is an arithmetic number, because the mean of its divisors is an integer number (133875).

Almost surely, 2^5206656 is an apocalyptic number.

5206656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8568000).

5206656 is an abundant number, since it is smaller than the sum of its proper divisors (11929344).

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

5206656 is a wasteful number, since it uses less digits than its factorization.

5206656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5206656 is about 2281.8098080252. The cubic root of 5206656 is about 173.3217086221.

The spelling of 5206656 in words is "five million, two hundred six thousand, six hundred fifty-six".