36606960 has 120 divisors (see below), whose sum is σ = 132429024. Its totient is φ = 9008640.

The previous prime is 36606929. The next prime is 36606971. The reversal of 36606960 is 6960663.

36606960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7405 + ... + 11315.

Almost surely, 2^36606960 is an apocalyptic number.

36606960 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 36606960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66214512).

36606960 is an abundant number, since it is smaller than the sum of its proper divisors (95822064).

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

36606960 is a wasteful number, since it uses less digits than its factorization.

36606960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 36606960 is about 6050.3685838137. The cubic root of 36606960 is about 332.0380756641.

The spelling of 36606960 in words is "thirty-six million, six hundred six thousand, nine hundred sixty".