36129660 has 72 divisors (see below), whose sum is σ = 117689040. Its totient is φ = 8257536.

The previous prime is 36129647. The next prime is 36129661. The reversal of 36129660 is 6692163.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36129661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3205 + ... + 9084.

It is an arithmetic number, because the mean of its divisors is an integer number (1634570).

Almost surely, 2^36129660 is an apocalyptic number.

36129660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36129660 is an abundant number, since it is smaller than the sum of its proper divisors (81559380).

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

36129660 is a wasteful number, since it uses less digits than its factorization.

36129660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12315 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 36129660 is about 6010.7952884789. The cubic root of 36129660 is about 330.5886646318.

The spelling of 36129660 in words is "thirty-six million, one hundred twenty-nine thousand, six hundred sixty".