96296256 has 224 divisors, whose sum is σ = 341376000. Its totient is φ = 26002944.

The previous prime is 96296251. The next prime is 96296257. The reversal of 96296256 is 65269269.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96296251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229615 + ... + 230033.

It is an arithmetic number, because the mean of its divisors is an integer number (1524000).

Almost surely, 2^96296256 is an apocalyptic number.

96296256 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 96296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688000).

96296256 is an abundant number, since it is smaller than the sum of its proper divisors (245079744).

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

96296256 is a wasteful number, since it uses less digits than its factorization.

96296256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 96296256 is about 9813.0655760573. The cubic root of 96296256 is about 458.3562250899.

The spelling of 96296256 in words is "ninety-six million, two hundred ninety-six thousand, two hundred fifty-six".