36135680 has 144 divisors (see below), whose sum is σ = 102527040. Its totient is φ = 11943936.

The previous prime is 36135661. The next prime is 36135683. The reversal of 36135680 is 8653163.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (36135683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331466 + ... + 331574.

Almost surely, 2^36135680 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 36135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51263520).

36135680 is an abundant number, since it is smaller than the sum of its proper divisors (66391360).

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

36135680 is a wasteful number, since it uses less digits than its factorization.

36135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 36135680 is about 6011.2960333026. The cubic root of 36135680 is about 330.6070247385.

The spelling of 36135680 in words is "thirty-six million, one hundred thirty-five thousand, six hundred eighty".