36012080 has 80 divisors (see below), whose sum is σ = 93160704. Its totient is φ = 12856320.

The previous prime is 36012061. The next prime is 36012107. The reversal of 36012080 is 8021063.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31682 + ... + 32798.

Almost surely, 2^36012080 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 36012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46580352).

36012080 is an abundant number, since it is smaller than the sum of its proper divisors (57148624).

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

36012080 is a wasteful number, since it uses less digits than its factorization.

36012080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 36012080 is about 6001.0065822327. The cubic root of 36012080 is about 330.2296534270.

The spelling of 36012080 in words is "thirty-six million, twelve thousand, eighty".