36087000 has 128 divisors (see below), whose sum is σ = 117711360. Its totient is φ = 9187200.

The previous prime is 36086993. The next prime is 36087013. The reversal of 36087000 is 78063.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68739 + ... + 69261.

It is an arithmetic number, because the mean of its divisors is an integer number (919620).

Almost surely, 2^36087000 is an apocalyptic number.

36087000 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 36087000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58855680).

36087000 is an abundant number, since it is smaller than the sum of its proper divisors (81624360).

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

36087000 is a wasteful number, since it uses less digits than its factorization.

36087000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 36087000 is about 6007.2456250764. The cubic root of 36087000 is about 330.4584994920.

The spelling of 36087000 in words is "thirty-six million, eighty-seven thousand".