36289968 has 160 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 9523200.

The previous prime is 36289963. The next prime is 36289973. The reversal of 36289968 is 86998263.

36289968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36289963) and next prime (36289973).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 36289968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36289963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116533 + ... + 116843.

Almost surely, 2^36289968 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 36289968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

36289968 is an abundant number, since it is smaller than the sum of its proper divisors (80702544).

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

36289968 is a wasteful number, since it uses less digits than its factorization.

36289968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 36289968 is about 6024.1155367406. The cubic root of 36289968 is about 331.0768860253.

The spelling of 36289968 in words is "thirty-six million, two hundred eighty-nine thousand, nine hundred sixty-eight".