96800256 has 120 divisors (see below), whose sum is σ = 319388784. Its totient is φ = 27648000.

The previous prime is 96800243. The next prime is 96800257. The reversal of 96800256 is 65200869.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96800256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96800257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30756 + ... + 33756.

Almost surely, 2^96800256 is an apocalyptic number.

96800256 is a gapful number since it is divisible by the number (96) 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 96800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159694392).

96800256 is an abundant number, since it is smaller than the sum of its proper divisors (222588528).

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

96800256 is a wasteful number, since it uses less digits than its factorization.

96800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 96800256 is about 9838.7121108405. The cubic root of 96800256 is about 459.1544896967.

The spelling of 96800256 in words is "ninety-six million, eight hundred thousand, two hundred fifty-six".