4649216 has 72 divisors (see below), whose sum is σ = 10988544. Its totient is φ = 1935360.

The previous prime is 4649209. The next prime is 4649219. The reversal of 4649216 is 6129464.

It is a happy number.

It is a Smith number, since the sum of its digits (32) 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4649219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36545 + ... + 36671.

Almost surely, 2^4649216 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 4649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494272).

4649216 is an abundant number, since it is smaller than the sum of its proper divisors (6339328).

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

4649216 is a wasteful number, since it uses less digits than its factorization.

4649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 4649216 is about 2156.2040719746. The cubic root of 4649216 is about 166.9013724352.

The spelling of 4649216 in words is "four million, six hundred forty-nine thousand, two hundred sixteen".