4636000 has 96 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1728000.

The previous prime is 4635991. The next prime is 4636003. The reversal of 4636000 is 6364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4636003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75970 + ... + 76030.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

Almost surely, 2^4636000 is an apocalyptic number.

4636000 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 4636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

4636000 is an abundant number, since it is smaller than the sum of its proper divisors (7550720).

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

4636000 is a wasteful number, since it uses less digits than its factorization.

4636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4636000 is about 2153.1372459739. The cubic root of 4636000 is about 166.7430760754.

It can be divided in two parts, 46 and 36000, that added together give a triangular number (36046 = T₂₆₈).

The spelling of 4636000 in words is "four million, six hundred thirty-six thousand".