4616640 has 168 divisors, whose sum is σ = 18227040. Its totient is φ = 1050624.

The previous prime is 4616627. The next prime is 4616657. The reversal of 4616640 is 466164.

4616640 is a `hidden beast` number, since 4 + 6 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20046 + ... + 20274.

Almost surely, 2^4616640 is an apocalyptic number.

4616640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113520).

4616640 is an abundant number, since it is smaller than the sum of its proper divisors (13610400).

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

4616640 is a wasteful number, since it uses less digits than its factorization.

4616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4616640 is about 2148.6367771217. The cubic root of 4616640 is about 166.5106451003.

The spelling of 4616640 in words is "four million, six hundred sixteen thousand, six hundred forty".