4801616 has 40 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 2225664.

The previous prime is 4801613. The next prime is 4801627. The reversal of 4801616 is 6161084.

It is a super-2 number, since 2×4801616² = 46111032422912, which contains 22 as substring.

4801616 is a modest number, since divided by 1616 gives 480 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801613) 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 7 ways as a sum of consecutive naturals, for example, 34475 + ... + 34613.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^4801616 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 4801616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

4801616 is an abundant number, since it is smaller than the sum of its proper divisors (5197744).

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

4801616 is a wasteful number, since it uses less digits than its factorization.

4801616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4801616 is about 2191.2589988406. The cubic root of 4801616 is about 168.7054613139.

The spelling of 4801616 in words is "four million, eight hundred one thousand, six hundred sixteen".