4555656 has 128 divisors (see below), whose sum is σ = 15206400. Its totient is φ = 1235520.

The previous prime is 4555637. The next prime is 4555673. The reversal of 4555656 is 6565554.

4555656 = 196² + 197² + ... + 276².

It is a happy number.

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

It is a d-powerful number, because it can be written as 4¹¹ + 5 + 5³ + 5⁵ + 6² + 5⁷ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 4555656.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34711 + ... + 34841.

It is an arithmetic number, because the mean of its divisors is an integer number (118800).

Almost surely, 2^4555656 is an apocalyptic number.

4555656 is a gapful number since it is divisible by the number (46) 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 4555656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603200).

4555656 is an abundant number, since it is smaller than the sum of its proper divisors (10650744).

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

4555656 is a wasteful number, since it uses less digits than its factorization.

4555656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 4555656 is about 2134.3982758614. The cubic root of 4555656 is about 165.7742127975.

The spelling of 4555656 in words is "four million, five hundred fifty-five thousand, six hundred fifty-six".