36768432 has 80 divisors (see below), whose sum is σ = 98431200. Its totient is φ = 11821056.

The previous prime is 36768427. The next prime is 36768437. The reversal of 36768432 is 23486763.

36768432 = 204² + 205² + ... + 491².

It is an interprime number because it is at equal distance from previous prime (36768427) and next prime (36768437).

It is not an unprimeable number, because it can be changed into a prime (36768437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246694 + ... + 246842.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 2^36768432 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 36768432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49215600).

36768432 is an abundant number, since it is smaller than the sum of its proper divisors (61662768).

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

36768432 is a wasteful number, since it uses less digits than its factorization.

36768432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 36768432 is about 6063.6978816560. The cubic root of 36768432 is about 332.5255623214.

The spelling of 36768432 in words is "thirty-six million, seven hundred sixty-eight thousand, four hundred thirty-two".