36099000 has 256 divisors, whose sum is σ = 143769600. Its totient is φ = 8208000.

The previous prime is 36098977. The next prime is 36099001. The reversal of 36099000 is 99063.

36099000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36099001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 188905 + ... + 189095.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 2^36099000 is an apocalyptic number.

36099000 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 36099000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71884800).

36099000 is an abundant number, since it is smaller than the sum of its proper divisors (107670600).

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

36099000 is a wasteful number, since it uses less digits than its factorization.

36099000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 36099000 is about 6008.2443359104. The cubic root of 36099000 is about 330.4951245234.

The spelling of 36099000 in words is "thirty-six million, ninety-nine thousand".