83307936 has 48 divisors (see below), whose sum is σ = 220437504. Its totient is φ = 27546624.

The previous prime is 83307929. The next prime is 83307971. The reversal of 83307936 is 63970338.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 83307894 and 83307903.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8776 + ... + 15608.

It is an arithmetic number, because the mean of its divisors is an integer number (4592448).

Almost surely, 2^83307936 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 83307936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110218752).

83307936 is an abundant number, since it is smaller than the sum of its proper divisors (137129568).

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

83307936 is a wasteful number, since it uses less digits than its factorization.

83307936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6973 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 83307936 is about 9127.3181165116. The cubic root of 83307936 is about 436.7458546310.

The spelling of 83307936 in words is "eighty-three million, three hundred seven thousand, nine hundred thirty-six".