36296960 has 72 divisors (see below), whose sum is σ = 99387456. Its totient is φ = 12441600.

The previous prime is 36296947. The next prime is 36296969. The reversal of 36296960 is 6969263.

It is not an unprimeable number, because it can be changed into a prime (36296969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6935 + ... + 10985.

Almost surely, 2^36296960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49693728).

36296960 is an abundant number, since it is smaller than the sum of its proper divisors (63090496).

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

36296960 is an equidigital number, since it uses as much as digits as its factorization.

36296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 41.

The square root of 36296960 is about 6024.6958429451. The cubic root of 36296960 is about 331.0981475572.

The spelling of 36296960 in words is "thirty-six million, two hundred ninety-six thousand, nine hundred sixty".