36258768 has 120 divisors (see below), whose sum is σ = 124936448. Its totient is φ = 9559296.

The previous prime is 36258767. The next prime is 36258811. The reversal of 36258768 is 86785263.

36258768 is a `hidden beast` number, since 3 + 6 + 2 + 587 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36258763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11721 + ... + 14487.

Almost surely, 2^36258768 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 36258768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62468224).

36258768 is an abundant number, since it is smaller than the sum of its proper divisors (88677680).

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

36258768 is a wasteful number, since it uses less digits than its factorization.

36258768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2792 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 36258768 is about 6021.5253881388. The cubic root of 36258768 is about 330.9819786162.

The spelling of 36258768 in words is "thirty-six million, two hundred fifty-eight thousand, seven hundred sixty-eight".