4661640 has 96 divisors (see below), whose sum is σ = 15837120. Its totient is φ = 1186944.

The previous prime is 4661639. The next prime is 4661651. The reversal of 4661640 is 461664.

4661640 is a `hidden beast` number, since 4 + 6 + 616 + 40 = 666.

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, 7999 + ... + 8561.

It is an arithmetic number, because the mean of its divisors is an integer number (164970).

Almost surely, 2^4661640 is an apocalyptic number.

4661640 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 4661640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918560).

4661640 is an abundant number, since it is smaller than the sum of its proper divisors (11175480).

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

4661640 is a wasteful number, since it uses less digits than its factorization.

4661640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 596 counting only the distinct ones).

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

The square root of 4661640 is about 2159.0831387420. The cubic root of 4661640 is about 167.0499091867.

It can be divided in two parts, 46616 and 40, that added together give a 6-th power (46656 = 6⁶).

The spelling of 4661640 in words is "four million, six hundred sixty-one thousand, six hundred forty".