36805680 has 240 divisors, whose sum is σ = 136491264. Its totient is φ = 8847360.

The previous prime is 36805633. The next prime is 36805709. The reversal of 36805680 is 8650863.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379392 + ... + 379488.

Almost surely, 2^36805680 is an apocalyptic number.

36805680 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 36805680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

36805680 is an abundant number, since it is smaller than the sum of its proper divisors (99685584).

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

36805680 is a wasteful number, since it uses less digits than its factorization.

36805680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 36805680 is about 6066.7684973139. The cubic root of 36805680 is about 332.6378119817.

The spelling of 36805680 in words is "thirty-six million, eight hundred five thousand, six hundred eighty".