36056016 has 100 divisors (see below), whose sum is σ = 106948512. Its totient is φ = 11721024.

The previous prime is 36055979. The next prime is 36056017. The reversal of 36056016 is 61065063.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36056017) 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 19 ways as a sum of consecutive naturals, for example, 55405 + ... + 56051.

Almost surely, 2^36056016 is an apocalyptic number.

36056016 is a gapful number since it is divisible by the number (36) 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 36056016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53474256).

36056016 is an abundant number, since it is smaller than the sum of its proper divisors (70892496).

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

36056016 is a wasteful number, since it uses less digits than its factorization.

36056016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 36056016 is about 6004.6661855594. Note that the first 3 decimals coincide. The cubic root of 36056016 is about 330.3638960993.

The spelling of 36056016 in words is "thirty-six million, fifty-six thousand, sixteen".