83807936 has 56 divisors (see below), whose sum is σ = 179435760. Its totient is φ = 38730240.

The previous prime is 83807921. The next prime is 83807939. The reversal of 83807936 is 63970838.

It is a super-3 number, since 3×83807936³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (83807939) 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, 2044076 + ... + 2044116.

It is an arithmetic number, because the mean of its divisors is an integer number (3204210).

Almost surely, 2^83807936 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 83807936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89717880).

83807936 is an abundant number, since it is smaller than the sum of its proper divisors (95627824).

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

83807936 is an frugal number, since it uses more digits than its factorization.

83807936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 83807936 is about 9154.6674434411. The cubic root of 83807936 is about 437.6178703904.

The spelling of 83807936 in words is "eighty-three million, eight hundred seven thousand, nine hundred thirty-six".