83968920 has 256 divisors, whose sum is σ = 331776000. Its totient is φ = 18482688.

The previous prime is 83968909. The next prime is 83968921. The reversal of 83968920 is 2986938.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83968921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219049 + ... + 219431.

It is an arithmetic number, because the mean of its divisors is an integer number (1296000).

Almost surely, 2^83968920 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 83968920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888000).

83968920 is an abundant number, since it is smaller than the sum of its proper divisors (247807080).

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

83968920 is a wasteful number, since it uses less digits than its factorization.

83968920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 83968920 is about 9163.4556800369. The cubic root of 83968920 is about 437.8978932563.

The spelling of 83968920 in words is "eighty-three million, nine hundred sixty-eight thousand, nine hundred twenty".