4838616 has 96 divisors (see below), whose sum is σ = 14414400. Its totient is φ = 1516320.

The previous prime is 4838611. The next prime is 4838633. The reversal of 4838616 is 6168384.

It is a happy number.

4838616 is a `hidden beast` number, since 4 + 8 + 38 + 616 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4838611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36871 + ... + 37001.

It is an arithmetic number, because the mean of its divisors is an integer number (150150).

Almost surely, 2^4838616 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 4838616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207200).

4838616 is an abundant number, since it is smaller than the sum of its proper divisors (9575784).

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

4838616 is a wasteful number, since it uses less digits than its factorization.

4838616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4838616 is about 2199.6854320561. The cubic root of 4838616 is about 169.1376864245.

The spelling of 4838616 in words is "four million, eight hundred thirty-eight thousand, six hundred sixteen".