4642656 has 48 divisors (see below), whose sum is σ = 12310704. Its totient is φ = 1531904.

The previous prime is 4642643. The next prime is 4642657. The reversal of 4642656 is 6562464.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12976 + ... + 13328.

It is an arithmetic number, because the mean of its divisors is an integer number (256473).

Almost surely, 2^4642656 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 4642656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155352).

4642656 is an abundant number, since it is smaller than the sum of its proper divisors (7668048).

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

4642656 is a wasteful number, since it uses less digits than its factorization.

4642656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 4642656 is about 2154.6823431773. The cubic root of 4642656 is about 166.8228367309.

The spelling of 4642656 in words is "four million, six hundred forty-two thousand, six hundred fifty-six".