36136080 has 120 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 9319680.

The previous prime is 36136073. The next prime is 36136097. The reversal of 36136080 is 8063163.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21511 + ... + 23129.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 2^36136080 is an apocalyptic number.

36136080 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 36136080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

36136080 is an abundant number, since it is smaller than the sum of its proper divisors (89213040).

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

36136080 is a wasteful number, since it uses less digits than its factorization.

36136080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36136080 is about 6011.3293039061. The cubic root of 36136080 is about 330.6082446069.

The spelling of 36136080 in words is "thirty-six million, one hundred thirty-six thousand, eighty".