98741760 has 320 divisors, whose sum is σ = 362976768. Its totient is φ = 22708224.

The previous prime is 98741743. The next prime is 98741777. The reversal of 98741760 is 6714789.

It is an interprime number because it is at equal distance from previous prime (98741743) and next prime (98741777).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 2296299 + ... + 2296341.

Almost surely, 2^98741760 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 98741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181488384).

98741760 is an abundant number, since it is smaller than the sum of its proper divisors (264235008).

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

98741760 is a wasteful number, since it uses less digits than its factorization.

98741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 98741760 is about 9936.8888491318. Note that the first 4 decimals coincide. The cubic root of 98741760 is about 462.2039166540.

The spelling of 98741760 in words is "ninety-eight million, seven hundred forty-one thousand, seven hundred sixty".