4964616 has 48 divisors (see below), whose sum is σ = 13710060. Its totient is φ = 1622400.

The previous prime is 4964599. The next prime is 4964621. The reversal of 4964616 is 6164694.

4964616 is a `hidden beast` number, since 4 + 9 + 646 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4639716 + 324900 = 2154^2 + 570^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3166 + ... + 4466.

Almost surely, 2^4964616 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 4964616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855030).

4964616 is an abundant number, since it is smaller than the sum of its proper divisors (8745444).

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

4964616 is a wasteful number, since it uses less digits than its factorization.

4964616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1359 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4964616 is about 2228.1418267247. The cubic root of 4964616 is about 170.5932674555.

The spelling of 4964616 in words is "four million, nine hundred sixty-four thousand, six hundred sixteen".