4836000 has 192 divisors, whose sum is σ = 17611776. Its totient is φ = 1152000.

The previous prime is 4835989. The next prime is 4836037. The reversal of 4836000 is 6384.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155985 + ... + 156015.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

Almost surely, 2^4836000 is an apocalyptic number.

4836000 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 4836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

4836000 is an abundant number, since it is smaller than the sum of its proper divisors (12775776).

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

4836000 is a wasteful number, since it uses less digits than its factorization.

4836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4836000 is about 2199.0907211846. The cubic root of 4836000 is about 169.1071994732.

It can be divided in two parts, 48 and 36000, that multiplied together give a cube (1728000 = 120³).

The spelling of 4836000 in words is "four million, eight hundred thirty-six thousand".