4638816 has 192 divisors, whose sum is σ = 16934400. Its totient is φ = 1202688.

The previous prime is 4638791. The next prime is 4638827. The reversal of 4638816 is 6188364.

It is a happy number.

4638816 is a `hidden beast` number, since 4 + 638 + 8 + 16 = 666.

It is a super-2 number, since 2×4638816² = 43037227763712, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78595 + ... + 78653.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

Almost surely, 2^4638816 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 4638816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

4638816 is an abundant number, since it is smaller than the sum of its proper divisors (12295584).

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

4638816 is a wasteful number, since it uses less digits than its factorization.

4638816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

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

The square root of 4638816 is about 2153.7910762189. The cubic root of 4638816 is about 166.7768302789.

The spelling of 4638816 in words is "four million, six hundred thirty-eight thousand, eight hundred sixteen".