36264500 has 96 divisors (see below), whose sum is σ = 85307040. Its totient is φ = 13440000.

The previous prime is 36264497. The next prime is 36264533. The reversal of 36264500 is 546263.

It can be written as a sum of positive squares in 16 ways, for example, as 36264484 + 16 = 6022^2 + 4^2 .

It is a super-2 number, since 2×36264500² = 2630227920500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36264500.

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, 594470 + ... + 594530.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^36264500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

36264500 is an abundant number, since it is smaller than the sum of its proper divisors (49042540).

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

36264500 is a wasteful number, since it uses less digits than its factorization.

36264500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 36264500 is about 6022.0013284622. The cubic root of 36264500 is about 330.9994188920. Note that the first 3 decimals are identical.

The spelling of 36264500 in words is "thirty-six million, two hundred sixty-four thousand, five hundred".