83855360 has 96 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 31703040.

The previous prime is 83855353. The next prime is 83855363. The reversal of 83855360 is 6355838.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (83855363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194345 + ... + 194775.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^83855360 is an apocalyptic number.

83855360 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 83855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

83855360 is an abundant number, since it is smaller than the sum of its proper divisors (128429440).

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

83855360 is a wasteful number, since it uses less digits than its factorization.

83855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 83855360 is about 9157.2572312893. The cubic root of 83855360 is about 437.7003990765.

The spelling of 83855360 in words is "eighty-three million, eight hundred fifty-five thousand, three hundred sixty".