83881920 has 224 divisors, whose sum is σ = 289681920. Its totient is φ = 20500480.

The previous prime is 83881909. The next prime is 83881921. The reversal of 83881920 is 2918838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83881921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640255 + ... + 640385.

Almost surely, 2^83881920 is an apocalyptic number.

83881920 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 83881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840960).

83881920 is an abundant number, since it is smaller than the sum of its proper divisors (205800000).

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

83881920 is a wasteful number, since it uses less digits than its factorization.

83881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 83881920 is about 9158.7073323696. The cubic root of 83881920 is about 437.7466060033.

The spelling of 83881920 in words is "eighty-three million, eight hundred eighty-one thousand, nine hundred twenty".