4134816 has 108 divisors (see below), whose sum is σ = 13724802. Its totient is φ = 1177344.

The previous prime is 4134803. The next prime is 4134817. The reversal of 4134816 is 6184314.

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 1587600 = 1596^2 + 1260^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4134816.

It is not an unprimeable number, because it can be changed into a prime (4134817) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13966 + ... + 14258.

Almost surely, 2^4134816 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 4134816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862401).

4134816 is an abundant number, since it is smaller than the sum of its proper divisors (9589986).

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

4134816 is a wasteful number, since it uses less digits than its factorization.

4134816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4134816 is about 2033.4246974009. The cubic root of 4134816 is about 160.5038284818.

It can be divided in two parts, 4134 and 816, that added together give a triangular number (4950 = T₉₉).

The spelling of 4134816 in words is "four million, one hundred thirty-four thousand, eight hundred sixteen".