36204960 has 96 divisors (see below), whose sum is σ = 124431552. Its totient is φ = 8775680.

The previous prime is 36204947. The next prime is 36204997. The reversal of 36204960 is 6940263.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1852 + ... + 8708.

It is an arithmetic number, because the mean of its divisors is an integer number (1296162).

Almost surely, 2^36204960 is an apocalyptic number.

36204960 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 36204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62215776).

36204960 is an abundant number, since it is smaller than the sum of its proper divisors (88226592).

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

36204960 is a wasteful number, since it uses less digits than its factorization.

36204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 36204960 is about 6017.0557584254. The cubic root of 36204960 is about 330.8181718433.

The spelling of 36204960 in words is "thirty-six million, two hundred four thousand, nine hundred sixty".