98944560 has 360 divisors, whose sum is σ = 403380432. Its totient is φ = 21427200.

The previous prime is 98944553. The next prime is 98944561. The reversal of 98944560 is 6544989.

It is a happy number.

98944560 is a `hidden beast` number, since 9 + 89 + 4 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (98944561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3191745 + ... + 3191775.

Almost surely, 2^98944560 is an apocalyptic number.

98944560 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 98944560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201690216).

98944560 is an abundant number, since it is smaller than the sum of its proper divisors (304435872).

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

98944560 is a wasteful number, since it uses less digits than its factorization.

98944560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 98944560 is about 9947.0880160980. The cubic root of 98944560 is about 462.5201315805.

The spelling of 98944560 in words is "ninety-eight million, nine hundred forty-four thousand, five hundred sixty".