36589680 has 120 divisors (see below), whose sum is σ = 124478640. Its totient is φ = 9630720.

The previous prime is 36589643. The next prime is 36589681. The reversal of 36589680 is 8698563.

36589680 is a `hidden beast` number, since 3 + 6 + 589 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36589681) 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, 63795 + ... + 64365.

It is an arithmetic number, because the mean of its divisors is an integer number (1037322).

Almost surely, 2^36589680 is an apocalyptic number.

36589680 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 36589680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62239320).

36589680 is an abundant number, since it is smaller than the sum of its proper divisors (87888960).

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

36589680 is a wasteful number, since it uses less digits than its factorization.

36589680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 36589680 is about 6048.9404030789. The cubic root of 36589680 is about 331.9858222039.

The spelling of 36589680 in words is "thirty-six million, five hundred eighty-nine thousand, six hundred eighty".