98219520 has 480 divisors, whose sum is σ = 419839200. Its totient is φ = 21676032.

The previous prime is 98219509. The next prime is 98219543. The reversal of 98219520 is 2591289.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386866 + ... + 3386894.

It is an arithmetic number, because the mean of its divisors is an integer number (874665).

Almost surely, 2^98219520 is an apocalyptic number.

98219520 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 98219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209919600).

98219520 is an abundant number, since it is smaller than the sum of its proper divisors (321619680).

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

98219520 is a wasteful number, since it uses less digits than its factorization.

98219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

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

The square root of 98219520 is about 9910.5761689218. The cubic root of 98219520 is about 461.3876183981.

It can be divided in two parts, 982 and 19520, that added together give a palindrome (20502).

The spelling of 98219520 in words is "ninety-eight million, two hundred nineteen thousand, five hundred twenty".