82636416 has 64 divisors (see below), whose sum is σ = 243902400. Its totient is φ = 27544320.

The previous prime is 82636409. The next prime is 82636417. The reversal of 82636416 is 61463628.

82636416 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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 not an unprimeable number, because it can be changed into a prime (82636417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8500 + ... + 15411.

It is an arithmetic number, because the mean of its divisors is an integer number (3810975).

Almost surely, 2^82636416 is an apocalyptic number.

It is an amenable number.

82636416 is an abundant number, since it is smaller than the sum of its proper divisors (161265984).

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

82636416 is a wasteful number, since it uses less digits than its factorization.

82636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23934 (or 23916 counting only the distinct ones).

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

The square root of 82636416 is about 9090.4574142339. The cubic root of 82636416 is about 435.5691954326.

The spelling of 82636416 in words is "eighty-two million, six hundred thirty-six thousand, four hundred sixteen".