98213120 has 54 divisors (see below), whose sum is σ = 236103462. Its totient is φ = 39143424.

The previous prime is 98213113. The next prime is 98213123. The reversal of 98213120 is 2131289.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 98089216 = 352^2 + 9904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 98213120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98213123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 354422 + ... + 354698.

Almost surely, 2^98213120 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 98213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118051731).

98213120 is an abundant number, since it is smaller than the sum of its proper divisors (137890342).

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

98213120 is an frugal number, since it uses more digits than its factorization.

98213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 98213120 is about 9910.2532762791. The cubic root of 98213120 is about 461.3775968162.

The spelling of 98213120 in words is "ninety-eight million, two hundred thirteen thousand, one hundred twenty".