98757120 has 320 divisors, whose sum is σ = 395974656. Its totient is φ = 20398080.

The previous prime is 98757119. The next prime is 98757143. The reversal of 98757120 is 2175789.

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

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, 591277 + ... + 591443.

Almost surely, 2^98757120 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 98757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

98757120 is an abundant number, since it is smaller than the sum of its proper divisors (297217536).

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

98757120 is a wasteful number, since it uses less digits than its factorization.

98757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 98757120 is about 9937.6616967977. The cubic root of 98757120 is about 462.2278818067.

The spelling of 98757120 in words is "ninety-eight million, seven hundred fifty-seven thousand, one hundred twenty".