36286020 has 36 divisors (see below), whose sum is σ = 110068140. Its totient is φ = 9676224.

The previous prime is 36286013. The next prime is 36286031. The reversal of 36286020 is 2068263.

36286020 is a `hidden beast` number, since 36 + 28 + 602 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14607684 + 21678336 = 3822^2 + 4656^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×36286020³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 100615 + ... + 100974.

Almost surely, 2^36286020 is an apocalyptic number.

36286020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36286020 is an abundant number, since it is smaller than the sum of its proper divisors (73782120).

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

36286020 is a wasteful number, since it uses less digits than its factorization.

36286020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201604 (or 201599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36286020 is about 6023.7878448697. The cubic root of 36286020 is about 331.0648795947.

The spelling of 36286020 in words is "thirty-six million, two hundred eighty-six thousand, twenty".