83895280 has 80 divisors (see below), whose sum is σ = 229003200. Its totient is φ = 27979776.

The previous prime is 83895271. The next prime is 83895281. The reversal of 83895280 is 8259838.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83895281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18696 + ... + 22744.

It is an arithmetic number, because the mean of its divisors is an integer number (2862540).

Almost surely, 2^83895280 is an apocalyptic number.

83895280 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 83895280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114501600).

83895280 is an abundant number, since it is smaller than the sum of its proper divisors (145107920).

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

83895280 is a wasteful number, since it uses less digits than its factorization.

83895280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 83895280 is about 9159.4366639002. The cubic root of 83895280 is about 437.7698449571.

The spelling of 83895280 in words is "eighty-three million, eight hundred ninety-five thousand, two hundred eighty".