98251920 has 160 divisors (see below), whose sum is σ = 364560000. Its totient is φ = 24178176.

The previous prime is 98251849. The next prime is 98251921. The reversal of 98251920 is 2915289.

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

It is not an unprimeable number, because it can be changed into a prime (98251921) 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, 26331 + ... + 29829.

It is an arithmetic number, because the mean of its divisors is an integer number (2278500).

Almost surely, 2^98251920 is an apocalyptic number.

98251920 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 98251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182280000).

98251920 is an abundant number, since it is smaller than the sum of its proper divisors (266308080).

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

98251920 is a wasteful number, since it uses less digits than its factorization.

98251920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 98251920 is about 9912.2106515146. The cubic root of 98251920 is about 461.4383459771.

The spelling of 98251920 in words is "ninety-eight million, two hundred fifty-one thousand, nine hundred twenty".