83812320 has 240 divisors, whose sum is σ = 307359360. Its totient is φ = 21482496.

The previous prime is 83812307. The next prime is 83812331. The reversal of 83812320 is 2321838.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375729 + ... + 375951.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664).

Almost surely, 2^83812320 is an apocalyptic number.

83812320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153679680).

83812320 is an abundant number, since it is smaller than the sum of its proper divisors (223547040).

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

83812320 is a wasteful number, since it uses less digits than its factorization.

83812320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83812320 is about 9154.9068810120. The cubic root of 83812320 is about 437.6255008662.

It can be divided in two parts, 8381 and 2320, that added together give a palindrome (10701).

The spelling of 83812320 in words is "eighty-three million, eight hundred twelve thousand, three hundred twenty".