36820560 has 240 divisors, whose sum is σ = 138419712. Its totient is φ = 8064000.

The previous prime is 36820541. The next prime is 36820561. The reversal of 36820560 is 6502863.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36820561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364510 + ... + 364610.

Almost surely, 2^36820560 is an apocalyptic number.

36820560 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 36820560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69209856).

36820560 is an abundant number, since it is smaller than the sum of its proper divisors (101599152).

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

36820560 is a wasteful number, since it uses less digits than its factorization.

36820560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 36820560 is about 6067.9947264315. The cubic root of 36820560 is about 332.6826328153.

The spelling of 36820560 in words is "thirty-six million, eight hundred twenty thousand, five hundred sixty".