4890600 has 288 divisors, whose sum is σ = 20311200. Its totient is φ = 1036800.

The previous prime is 4890593. The next prime is 4890617. The reversal of 4890600 is 60984.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257391 + ... + 257409.

It is an arithmetic number, because the mean of its divisors is an integer number (70525).

Almost surely, 2^4890600 is an apocalyptic number.

4890600 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 4890600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

4890600 is an abundant number, since it is smaller than the sum of its proper divisors (15420600).

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

4890600 is a wasteful number, since it uses less digits than its factorization.

4890600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4890600 is about 2211.4700992779. The cubic root of 4890600 is about 169.7412441810.

The spelling of 4890600 in words is "four million, eight hundred ninety thousand, six hundred".