4919616 has 140 divisors (see below), whose sum is σ = 15920212. Its totient is φ = 1492992.

The previous prime is 4919591. The next prime is 4919623. The reversal of 4919616 is 6169194.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 3240000 = 1296^2 + 1800^2 .

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67356 + ... + 67428.

Almost surely, 2^4919616 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 4919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960106).

4919616 is an abundant number, since it is smaller than the sum of its proper divisors (11000596).

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

4919616 is a wasteful number, since it uses less digits than its factorization.

4919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 4919616 is about 2218.0207393079. The cubic root of 4919616 is about 170.0762748841.

The spelling of 4919616 in words is "four million, nine hundred nineteen thousand, six hundred sixteen".