36608640 has 128 divisors (see below), whose sum is σ = 121910400. Its totient is φ = 9326592.

The previous prime is 36608603. The next prime is 36608641. The reversal of 36608640 is 4680663.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (36608641) 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, 43746 + ... + 44574.

It is an arithmetic number, because the mean of its divisors is an integer number (952425).

Almost surely, 2^36608640 is an apocalyptic number.

36608640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60955200).

36608640 is an abundant number, since it is smaller than the sum of its proper divisors (85301760).

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

36608640 is a wasteful number, since it uses less digits than its factorization.

36608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 36608640 is about 6050.5074167379. The cubic root of 36608640 is about 332.0431549844.

The spelling of 36608640 in words is "thirty-six million, six hundred eight thousand, six hundred forty".