83736016 has 120 divisors (see below), whose sum is σ = 213180800. Its totient is φ = 31021056.

The previous prime is 83736011. The next prime is 83736017. The reversal of 83736016 is 61063738.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83736011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420685 + ... + 420883.

Almost surely, 2^83736016 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 83736016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106590400).

83736016 is an abundant number, since it is smaller than the sum of its proper divisors (129444784).

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

83736016 is a wasteful number, since it uses less digits than its factorization.

83736016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 83736016 is about 9150.7385494287. The cubic root of 83736016 is about 437.4926535909.

The spelling of 83736016 in words is "eighty-three million, seven hundred thirty-six thousand, sixteen".