36565920 has 144 divisors (see below), whose sum is σ = 126977760. Its totient is φ = 9580032.

The previous prime is 36565889. The next prime is 36565951. The reversal of 36565920 is 2956563.

36565920 is a `hidden beast` number, since 3 + 6 + 565 + 92 + 0 = 666.

36565920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36565889) and next prime (36565951).

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 96291 + ... + 96669.

It is an arithmetic number, because the mean of its divisors is an integer number (881790).

Almost surely, 2^36565920 is an apocalyptic number.

36565920 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 36565920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

36565920 is an abundant number, since it is smaller than the sum of its proper divisors (90411840).

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

36565920 is a wasteful number, since it uses less digits than its factorization.

36565920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 36565920 is about 6046.9761038059. The cubic root of 36565920 is about 331.9139468268.

The spelling of 36565920 in words is "thirty-six million, five hundred sixty-five thousand, nine hundred twenty".