36120960 has 96 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 9630720.

The previous prime is 36120941. The next prime is 36120961. The reversal of 36120960 is 6902163.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36120961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2625 + ... + 8895.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 2^36120960 is an apocalyptic number.

36120960 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 36120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

36120960 is an abundant number, since it is smaller than the sum of its proper divisors (88629120).

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

36120960 is a wasteful number, since it uses less digits than its factorization.

36120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 36120960 is about 6010.0715469951. The cubic root of 36120960 is about 330.5621273190.

It can be divided in two parts, 361 and 20960, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 36120960 in words is "thirty-six million, one hundred twenty thousand, nine hundred sixty".