83677536 has 168 divisors, whose sum is σ = 262765944. Its totient is φ = 26127360.

The previous prime is 83677487. The next prime is 83677537. The reversal of 83677536 is 63577638.

It is a junction number, because it is equal to n+sod(n) for n = 83677491 and 83677500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83677537) 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 27 ways as a sum of consecutive naturals, for example, 396471 + ... + 396681.

It is an arithmetic number, because the mean of its divisors is an integer number (1564083).

Almost surely, 2^83677536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83677536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131382972).

83677536 is an abundant number, since it is smaller than the sum of its proper divisors (179088408).

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

83677536 is a wasteful number, since it uses less digits than its factorization.

83677536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 83677536 is about 9147.5426208354. The cubic root of 83677536 is about 437.3907837310.

The spelling of 83677536 in words is "eighty-three million, six hundred seventy-seven thousand, five hundred thirty-six".