36126090 has 192 divisors, whose sum is σ = 126427392. Its totient is φ = 6912000.

The previous prime is 36126073. The next prime is 36126107. The reversal of 36126090 is 9062163.

It is a happy number.

36126090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36126073) and next prime (36126107).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 89890 + ... + 90290.

It is an arithmetic number, because the mean of its divisors is an integer number (658476).

Almost surely, 2^36126090 is an apocalyptic number.

36126090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36126090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63213696).

36126090 is an abundant number, since it is smaller than the sum of its proper divisors (90301302).

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

36126090 is a wasteful number, since it uses less digits than its factorization.

36126090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 36126090 is about 6010.4983154477. The cubic root of 36126090 is about 330.5777756982.

The spelling of 36126090 in words is "thirty-six million, one hundred twenty-six thousand, ninety".