4735656 has 96 divisors (see below), whose sum is σ = 14025960. Its totient is φ = 1437696.

The previous prime is 4735651. The next prime is 4735669. The reversal of 4735656 is 6565374.

It can be written as a sum of positive squares in 4 ways, for example, as 4691556 + 44100 = 2166^2 + 210^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4735656.

It is not an unprimeable number, because it can be changed into a prime (4735651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64836 + ... + 64908.

Almost surely, 2^4735656 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 4735656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012980).

4735656 is an abundant number, since it is smaller than the sum of its proper divisors (9290304).

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

4735656 is a wasteful number, since it uses less digits than its factorization.

4735656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 4735656 is about 2176.1562443906. The cubic root of 4735656 is about 167.9293920974.

The spelling of 4735656 in words is "four million, seven hundred thirty-five thousand, six hundred fifty-six".