36736560 has 240 divisors, whose sum is σ = 145544256. Its totient is φ = 8128512.

The previous prime is 36736559. The next prime is 36736573. The reversal of 36736560 is 6563763.

36736560 is a `hidden beast` number, since 3 + 67 + 36 + 560 = 666.

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, 186382 + ... + 186578.

Almost surely, 2^36736560 is an apocalyptic number.

36736560 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 36736560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72772128).

36736560 is an abundant number, since it is smaller than the sum of its proper divisors (108807696).

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

36736560 is a wasteful number, since it uses less digits than its factorization.

36736560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 36736560 is about 6061.0692126060. The cubic root of 36736560 is about 332.4294534410.

The spelling of 36736560 in words is "thirty-six million, seven hundred thirty-six thousand, five hundred sixty".