83357920 has 96 divisors (see below), whose sum is σ = 205371936. Its totient is φ = 31948800.

The previous prime is 83357899. The next prime is 83357969. The reversal of 83357920 is 2975338.

It is a self number, because there is not a number n which added to its sum of digits gives 83357920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636255 + ... + 636385.

It is an arithmetic number, because the mean of its divisors is an integer number (2139291).

Almost surely, 2^83357920 is an apocalyptic number.

83357920 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 83357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102685968).

83357920 is an abundant number, since it is smaller than the sum of its proper divisors (122014016).

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

83357920 is a wasteful number, since it uses less digits than its factorization.

83357920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 83357920 is about 9130.0558596320. The cubic root of 83357920 is about 436.8331850076.

The spelling of 83357920 in words is "eighty-three million, three hundred fifty-seven thousand, nine hundred twenty".