4986000 has 120 divisors (see below), whose sum is σ = 17477304. Its totient is φ = 1324800.

The previous prime is 4985993. The next prime is 4986001. The reversal of 4986000 is 6894.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 4260096 = 852^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4986001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17862 + ... + 18138.

Almost surely, 2^4986000 is an apocalyptic number.

4986000 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 4986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738652).

4986000 is an abundant number, since it is smaller than the sum of its proper divisors (12491304).

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

4986000 is a wasteful number, since it uses less digits than its factorization.

4986000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

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

The square root of 4986000 is about 2232.9352879114. The cubic root of 4986000 is about 170.8378477226.

The spelling of 4986000 in words is "four million, nine hundred eighty-six thousand".