98464000 has 144 divisors (see below), whose sum is σ = 261149616. Its totient is φ = 36864000.

The previous prime is 98463977. The next prime is 98464027. The reversal of 98464000 is 46489.

It can be written as a sum of positive squares in 8 ways, for example, as 50466816 + 47997184 = 7104^2 + 6928^2 .

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, 543910 + ... + 544090.

It is an arithmetic number, because the mean of its divisors is an integer number (1813539).

Almost surely, 2^98464000 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 98464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130574808).

98464000 is an abundant number, since it is smaller than the sum of its proper divisors (162685616).

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

98464000 is a wasteful number, since it uses less digits than its factorization.

98464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 98464000 is about 9922.9028010961. The cubic root of 98464000 is about 461.7701173259.

The spelling of 98464000 in words is "ninety-eight million, four hundred sixty-four thousand".