4667936 has 72 divisors (see below), whose sum is σ = 11563020. Its totient is φ = 1838592.

The previous prime is 4667933. The next prime is 4667947. The reversal of 4667936 is 6397664.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4648336 + 19600 = 2156^2 + 140^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4667893 and 4667902.

It is not an unprimeable number, because it can be changed into a prime (4667933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20270 + ... + 20498.

Almost surely, 2^4667936 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 4667936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781510).

4667936 is an abundant number, since it is smaller than the sum of its proper divisors (6895084).

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

4667936 is a wasteful number, since it uses less digits than its factorization.

4667936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its digits is 163296, while the sum is 41.

The square root of 4667936 is about 2160.5406730724. The cubic root of 4667936 is about 167.1250810924.

The spelling of 4667936 in words is "four million, six hundred sixty-seven thousand, nine hundred thirty-six".