83680256 has 176 divisors, whose sum is σ = 212232960. Its totient is φ = 32440320.

The previous prime is 83680249. The next prime is 83680271. The reversal of 83680256 is 65208638.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3638261 + ... + 3638283.

Almost surely, 2^83680256 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 83680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106116480).

83680256 is an abundant number, since it is smaller than the sum of its proper divisors (128552704).

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

83680256 is a wasteful number, since it uses less digits than its factorization.

83680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 83680256 is about 9147.6912934357. The cubic root of 83680256 is about 437.3955229163.

The spelling of 83680256 in words is "eighty-three million, six hundred eighty thousand, two hundred fifty-six".