98256000 has 256 divisors, whose sum is σ = 343699200. Its totient is φ = 24780800.

The previous prime is 98255987. The next prime is 98256001. The reversal of 98256000 is 65289.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (98256001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103956 + ... + 1104044.

It is an arithmetic number, because the mean of its divisors is an integer number (1342575).

Almost surely, 2^98256000 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 98256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

98256000 is an abundant number, since it is smaller than the sum of its proper divisors (245443200).

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

98256000 is a wasteful number, since it uses less digits than its factorization.

98256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 98256000 is about 9912.4164561423. The cubic root of 98256000 is about 461.4447331038. Note that the first 3 decimals are identical.

The spelling of 98256000 in words is "ninety-eight million, two hundred fifty-six thousand".