83207936 has 72 divisors (see below), whose sum is σ = 193280640. Its totient is φ = 35011584.

The previous prime is 83207893. The next prime is 83207939. The reversal of 83207936 is 63970238.

It is a super-2 number, since 2×83207936² = 13847121226760192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83207936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83207939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105335 + ... + 106121.

Almost surely, 2^83207936 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 83207936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96640320).

83207936 is an abundant number, since it is smaller than the sum of its proper divisors (110072704).

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

83207936 is an equidigital number, since it uses as much as digits as its factorization.

83207936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 83207936 is about 9121.8384111976. The cubic root of 83207936 is about 436.5710330619.

The spelling of 83207936 in words is "eighty-three million, two hundred seven thousand, nine hundred thirty-six".