83806812 has 72 divisors (see below), whose sum is σ = 221533312. Its totient is φ = 27702000.

The previous prime is 83806769. The next prime is 83806817. The reversal of 83806812 is 21860838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83806817) 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, 146487 + ... + 147057.

Almost surely, 2^83806812 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 83806812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110766656).

83806812 is an abundant number, since it is smaller than the sum of its proper divisors (137726500).

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

83806812 is a wasteful number, since it uses less digits than its factorization.

83806812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 83806812 is about 9154.6060537852. The cubic root of 83806812 is about 437.6159139938.

The spelling of 83806812 in words is "eighty-three million, eight hundred six thousand, eight hundred twelve".