82816416 has 36 divisors (see below), whose sum is σ = 235510002. Its totient is φ = 27605376.

The previous prime is 82816387. The next prime is 82816417. The reversal of 82816416 is 61461828.

82816416 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48944016 + 33872400 = 6996^2 + 5820^2 .

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

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 (82816417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143491 + ... + 144066.

Almost surely, 2^82816416 is an apocalyptic number.

It is an amenable number.

82816416 is an abundant number, since it is smaller than the sum of its proper divisors (152693586).

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

82816416 is a wasteful number, since it uses less digits than its factorization.

82816416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287573 (or 287562 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82816416 is about 9100.3525206445. The cubic root of 82816416 is about 435.8852207473.

The spelling of 82816416 in words is "eighty-two million, eight hundred sixteen thousand, four hundred sixteen".