98016480 has 144 divisors (see below), whose sum is σ = 347007024. Its totient is φ = 26127360.

The previous prime is 98016473. The next prime is 98016481. The reversal of 98016480 is 8461089.

It is a happy number.

98016480 is a `hidden beast` number, since 9 + 8 + 0 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98016481) 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, 37620 + ... + 40140.

It is an arithmetic number, because the mean of its divisors is an integer number (2409771).

Almost surely, 2^98016480 is an apocalyptic number.

98016480 is a gapful number since it is divisible by the number (90) 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 98016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173503512).

98016480 is an abundant number, since it is smaller than the sum of its proper divisors (248990544).

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

98016480 is a wasteful number, since it uses less digits than its factorization.

98016480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 98016480 is about 9900.3272673180. The cubic root of 98016480 is about 461.0694712914.

The spelling of 98016480 in words is "ninety-eight million, sixteen thousand, four hundred eighty".