83051680 has 48 divisors (see below), whose sum is σ = 201526920. Its totient is φ = 32320512.

The previous prime is 83051651. The next prime is 83051687. The reversal of 83051680 is 8615038.

It can be written as a sum of positive squares in 4 ways, for example, as 60279696 + 22771984 = 7764^2 + 4772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83051687) 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, 1095 + ... + 12934.

Almost surely, 2^83051680 is an apocalyptic number.

83051680 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 83051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100763460).

83051680 is an abundant number, since it is smaller than the sum of its proper divisors (118475240).

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

83051680 is a wasteful number, since it uses less digits than its factorization.

83051680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14081 (or 14073 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 83051680 is about 9113.2694462525. The cubic root of 83051680 is about 436.2975832258.

The spelling of 83051680 in words is "eighty-three million, fifty-one thousand, six hundred eighty".