36604768 has 48 divisors (see below), whose sum is σ = 74462976. Its totient is φ = 17704960.

The previous prime is 36604751. The next prime is 36604817. The reversal of 36604768 is 86740663.

It is a self number, because there is not a number n which added to its sum of digits gives 36604768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191553 + ... + 191743.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 2^36604768 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 36604768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231488).

36604768 is an abundant number, since it is smaller than the sum of its proper divisors (37858208).

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

36604768 is a wasteful number, since it uses less digits than its factorization.

36604768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 36604768 is about 6050.1874351131. The cubic root of 36604768 is about 332.0314481267.

The spelling of 36604768 in words is "thirty-six million, six hundred four thousand, seven hundred sixty-eight".