83396820 has 96 divisors (see below), whose sum is σ = 259660800. Its totient is φ = 19860480.

The previous prime is 83396809. The next prime is 83396839. The reversal of 83396820 is 2869338.

It is a super-2 number, since 2×83396820² = 13910059172224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 22456 + ... + 25904.

It is an arithmetic number, because the mean of its divisors is an integer number (2704800).

Almost surely, 2^83396820 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 83396820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129830400).

83396820 is an abundant number, since it is smaller than the sum of its proper divisors (176263980).

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

83396820 is a wasteful number, since it uses less digits than its factorization.

83396820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 83396820 is about 9132.1859376603. The cubic root of 83396820 is about 436.9011256355.

The spelling of 83396820 in words is "eighty-three million, three hundred ninety-six thousand, eight hundred twenty".