36696960 has 192 divisors, whose sum is σ = 132706080. Its totient is φ = 9326592.

The previous prime is 36696887. The next prime is 36696967. The reversal of 36696960 is 6969663.

36696960 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36696967) by changing a digit.

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, 132342 + ... + 132618.

Almost surely, 2^36696960 is an apocalyptic number.

36696960 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 36696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66353040).

36696960 is an abundant number, since it is smaller than the sum of its proper divisors (96009120).

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

36696960 is a wasteful number, since it uses less digits than its factorization.

36696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 36696960 is about 6057.8015814320. The cubic root of 36696960 is about 332.3099635806.

The spelling of 36696960 in words is "thirty-six million, six hundred ninety-six thousand, nine hundred sixty".