36629120 has 128 divisors (see below), whose sum is σ = 98556480. Its totient is φ = 13009920.

The previous prime is 36629119. The next prime is 36629189. The reversal of 36629120 is 2192663.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851819 + ... + 851861.

Almost surely, 2^36629120 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 36629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49278240).

36629120 is an abundant number, since it is smaller than the sum of its proper divisors (61927360).

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

36629120 is an equidigital number, since it uses as much as digits as its factorization.

36629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 36629120 is about 6052.1996001454. The cubic root of 36629120 is about 332.1050618287.

The spelling of 36629120 in words is "thirty-six million, six hundred twenty-nine thousand, one hundred twenty".