98857920 has 224 divisors, whose sum is σ = 367515648. Its totient is φ = 22044672.

The previous prime is 98857901. The next prime is 98857921. The reversal of 98857920 is 2975889.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98857920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98857921) 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 31 ways as a sum of consecutive naturals, for example, 315684 + ... + 315996.

Almost surely, 2^98857920 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 98857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183757824).

98857920 is an abundant number, since it is smaller than the sum of its proper divisors (268657728).

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

98857920 is a wasteful number, since it uses less digits than its factorization.

98857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 98857920 is about 9942.7320189171. The cubic root of 98857920 is about 462.3850914922.

The spelling of 98857920 in words is "ninety-eight million, eight hundred fifty-seven thousand, nine hundred twenty".