83806296 has 128 divisors (see below), whose sum is σ = 256435200. Its totient is φ = 22344960.

The previous prime is 83806279. The next prime is 83806309. The reversal of 83806296 is 69260838.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2044036 + ... + 2044076.

It is an arithmetic number, because the mean of its divisors is an integer number (2003400).

Almost surely, 2^83806296 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 83806296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128217600).

83806296 is an abundant number, since it is smaller than the sum of its proper divisors (172628904).

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

83806296 is a wasteful number, since it uses less digits than its factorization.

83806296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 83806296 is about 9154.5778712074. The cubic root of 83806296 is about 437.6150158557.

The spelling of 83806296 in words is "eighty-three million, eight hundred six thousand, two hundred ninety-six".