98824320 has 512 divisors, whose sum is σ = 430848000. Its totient is φ = 20901888.

The previous prime is 98824267. The next prime is 98824321. The reversal of 98824320 is 2342889.

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 (98824321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298219 + ... + 2298261.

It is an arithmetic number, because the mean of its divisors is an integer number (841500).

Almost surely, 2^98824320 is an apocalyptic number.

98824320 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 98824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215424000).

98824320 is an abundant number, since it is smaller than the sum of its proper divisors (332023680).

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

98824320 is a wasteful number, since it uses less digits than its factorization.

98824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 98824320 is about 9941.0421988844. The cubic root of 98824320 is about 462.3327001426.

The spelling of 98824320 in words is "ninety-eight million, eight hundred twenty-four thousand, three hundred twenty".