4633656 has 64 divisors (see below), whose sum is σ = 12610080. Its totient is φ = 1413120.

The previous prime is 4633633. The next prime is 4633679. The reversal of 4633656 is 6563364.

4633656 = 103² + 104² + ... + 246².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4633633) and next prime (4633679).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16590 + ... + 16866.

Almost surely, 2^4633656 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 4633656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305040).

4633656 is an abundant number, since it is smaller than the sum of its proper divisors (7976424).

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

4633656 is a wasteful number, since it uses less digits than its factorization.

4633656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 4633656 is about 2152.5928551401. The cubic root of 4633656 is about 166.7149691110.

The spelling of 4633656 in words is "four million, six hundred thirty-three thousand, six hundred fifty-six".