4777136 has 80 divisors (see below), whose sum is σ = 12124224. Its totient is φ = 1769472.

The previous prime is 4777103. The next prime is 4777139. The reversal of 4777136 is 6317774.

4777136 is nontrivially palindromic in base 3 and base 9.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 4777096 and 4777105.

It is not an unprimeable number, because it can be changed into a prime (4777139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24656 + ... + 24848.

Almost surely, 2^4777136 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 4777136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062112).

4777136 is an abundant number, since it is smaller than the sum of its proper divisors (7347088).

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

4777136 is a wasteful number, since it uses less digits than its factorization.

4777136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its digits is 24696, while the sum is 35.

The square root of 4777136 is about 2185.6660312134. Note that the first 3 decimals coincide. The cubic root of 4777136 is about 168.4182699376.

It can be divided in two parts, 4777 and 136, that added together give a cube (4913 = 17³).

The spelling of 4777136 in words is "four million, seven hundred seventy-seven thousand, one hundred thirty-six".