36067968 has 96 divisors (see below), whose sum is σ = 105019200. Its totient is φ = 11880960.

The previous prime is 36067961. The next prime is 36068027. The reversal of 36067968 is 86976063.

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

It is not an unprimeable number, because it can be changed into a prime (36067961) 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, 150793 + ... + 151031.

It is an arithmetic number, because the mean of its divisors is an integer number (1093950).

Almost surely, 2^36067968 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 36067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52509600).

36067968 is an abundant number, since it is smaller than the sum of its proper divisors (68951232).

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

36067968 is a wasteful number, since it uses less digits than its factorization.

36067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 36067968 is about 6005.6613291127. The cubic root of 36067968 is about 330.4003955384.

The spelling of 36067968 in words is "thirty-six million, sixty-seven thousand, nine hundred sixty-eight".