98496300 has 288 divisors, whose sum is σ = 359976960. Its totient is φ = 20275200.

The previous prime is 98496259. The next prime is 98496329. The reversal of 98496300 is 369489.

It is a super-2 number, since 2×98496300² = 19403042227380000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1106656 + ... + 1106744.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^98496300 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 98496300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

98496300 is an abundant number, since it is smaller than the sum of its proper divisors (261480660).

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

98496300 is a wasteful number, since it uses less digits than its factorization.

98496300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 98496300 is about 9924.5302155820. The cubic root of 98496300 is about 461.8206046247.

The spelling of 98496300 in words is "ninety-eight million, four hundred ninety-six thousand, three hundred".