83056680 has 192 divisors, whose sum is σ = 322133760. Its totient is φ = 18146304.

The previous prime is 83056663. The next prime is 83056789. The reversal of 83056680 is 8665038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57244 + ... + 58676.

It is an arithmetic number, because the mean of its divisors is an integer number (1677780).

Almost surely, 2^83056680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83056680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161066880).

83056680 is an abundant number, since it is smaller than the sum of its proper divisors (239077080).

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

83056680 is a wasteful number, since it uses less digits than its factorization.

83056680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 83056680 is about 9113.5437673827. The cubic root of 83056680 is about 436.3063385941.

Adding to 83056680 its sum of digits (36), we get a triangular number (83056716 = T₁₂₈₈₈).

The spelling of 83056680 in words is "eighty-three million, fifty-six thousand, six hundred eighty".