36636960 has 96 divisors (see below), whose sum is σ = 116508672. Its totient is φ = 9676800.

The previous prime is 36636913. The next prime is 36636983. The reversal of 36636960 is 6963663.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60660 + ... + 61260.

It is an arithmetic number, because the mean of its divisors is an integer number (1213632).

Almost surely, 2^36636960 is an apocalyptic number.

36636960 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 36636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58254336).

36636960 is an abundant number, since it is smaller than the sum of its proper divisors (79871712).

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

36636960 is a wasteful number, since it uses less digits than its factorization.

36636960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The square root of 36636960 is about 6052.8472638916. The cubic root of 36636960 is about 332.1287544348.

The spelling of 36636960 in words is "thirty-six million, six hundred thirty-six thousand, nine hundred sixty".