83983680 has 252 divisors, whose sum is σ = 318834516. Its totient is φ = 20275200.

The previous prime is 83983663. The next prime is 83983717. The reversal of 83983680 is 8638938.

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 36869184 = 6864^2 + 6072^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348360 + ... + 348600.

Almost surely, 2^83983680 is an apocalyptic number.

83983680 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 83983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159417258).

83983680 is an abundant number, since it is smaller than the sum of its proper divisors (234850836).

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

83983680 is a wasteful number, since it uses less digits than its factorization.

83983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 83983680 is about 9164.2610176708. The cubic root of 83983680 is about 437.9235495516.

The spelling of 83983680 in words is "eighty-three million, nine hundred eighty-three thousand, six hundred eighty".