36460200 has 96 divisors (see below), whose sum is σ = 129188160. Its totient is φ = 8332800.

The previous prime is 36460139. The next prime is 36460201. The reversal of 36460200 is 206463.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (36460201) 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 23 ways as a sum of consecutive naturals, for example, 141 + ... + 8540.

It is an arithmetic number, because the mean of its divisors is an integer number (1345710).

Almost surely, 2^36460200 is an apocalyptic number.

36460200 is a gapful number since it is divisible by the number (30) 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 36460200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64594080).

36460200 is an abundant number, since it is smaller than the sum of its proper divisors (92727960).

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

36460200 is a wasteful number, since it uses less digits than its factorization.

36460200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 36460200 is about 6038.2282169524. The cubic root of 36460200 is about 331.5937596650.

Adding to 36460200 its reverse (206463), we get a palindrome (36666663).

The spelling of 36460200 in words is "thirty-six million, four hundred sixty thousand, two hundred".