83886080 has 50 divisors (see below), whose sum is σ = 201326586. Its totient is φ = 33554432.

The previous prime is 83886053. The next prime is 83886091. The reversal of 83886080 is 8068838.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 67108864 + 16777216 = 8192^2 + 4096^2 .

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 83886080 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16777214 + ... + 16777218.

Almost surely, 2^83886080 is an apocalyptic number.

83886080 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 83886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100663293).

83886080 is an abundant number, since it is smaller than the sum of its proper divisors (117440506).

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

83886080 is an frugal number, since it uses more digits than its factorization.

83886080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 83886080 is about 9158.9344358391. The cubic root of 83886080 is about 437.7538423492.

The spelling of 83886080 in words is "eighty-three million, eight hundred eighty-six thousand, eighty".