83281920 has 96 divisors (see below), whose sum is σ = 266535360. Its totient is φ = 22200320.

The previous prime is 83281907. The next prime is 83281943. The reversal of 83281920 is 2918238.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29365 + ... + 32075.

It is an arithmetic number, because the mean of its divisors is an integer number (2776410).

Almost surely, 2^83281920 is an apocalyptic number.

83281920 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 83281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133267680).

83281920 is an abundant number, since it is smaller than the sum of its proper divisors (183253440).

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

83281920 is a wasteful number, since it uses less digits than its factorization.

83281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 83281920 is about 9125.8928330328. The cubic root of 83281920 is about 436.7003865213.

The spelling of 83281920 in words is "eighty-three million, two hundred eighty-one thousand, nine hundred twenty".