36682560 has 168 divisors, whose sum is σ = 129332736. Its totient is φ = 9538560.

The previous prime is 36682543. The next prime is 36682571. The reversal of 36682560 is 6528663.

36682560 is a `hidden beast` number, since 36 + 68 + 2 + 560 = 666.

36682560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36682560² = 2691220416307200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135225 + ... + 135495.

Almost surely, 2^36682560 is an apocalyptic number.

36682560 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 36682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64666368).

36682560 is an abundant number, since it is smaller than the sum of its proper divisors (92650176).

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

36682560 is a wasteful number, since it uses less digits than its factorization.

36682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 36682560 is about 6056.6129148229. The cubic root of 36682560 is about 332.2664914098.

The spelling of 36682560 in words is "thirty-six million, six hundred eighty-two thousand, five hundred sixty".