36642816 has 168 divisors, whose sum is σ = 122675904. Its totient is φ = 10321920.

The previous prime is 36642799. The next prime is 36642829. The reversal of 36642816 is 61824663.

36642816 is a `hidden beast` number, since 3 + 6 + 642 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516061 + ... + 516131.

Almost surely, 2^36642816 is an apocalyptic number.

36642816 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 36642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61337952).

36642816 is an abundant number, since it is smaller than the sum of its proper divisors (86033088).

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

36642816 is an equidigital number, since it uses as much as digits as its factorization.

36642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 36642816 is about 6053.3309838468. The cubic root of 36642816 is about 332.1464491559.

The spelling of 36642816 in words is "thirty-six million, six hundred forty-two thousand, eight hundred sixteen".