98312256 has 168 divisors, whose sum is σ = 331256640. Its totient is φ = 27288576.

The previous prime is 98312243. The next prime is 98312257. The reversal of 98312256 is 65221389.

98312256 is a `hidden beast` number, since 98 + 312 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 98312256.

It is not an unprimeable number, because it can be changed into a prime (98312257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148855 + ... + 149513.

Almost surely, 2^98312256 is an apocalyptic number.

98312256 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 98312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165628320).

98312256 is an abundant number, since it is smaller than the sum of its proper divisors (232944384).

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

98312256 is a wasteful number, since it uses less digits than its factorization.

98312256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

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

The square root of 98312256 is about 9915.2537032594. The cubic root of 98312256 is about 461.5327822891.

The spelling of 98312256 in words is "ninety-eight million, three hundred twelve thousand, two hundred fifty-six".