98316400 has 240 divisors, whose sum is σ = 302661184. Its totient is φ = 29859840.

The previous prime is 98316373. The next prime is 98316481. The reversal of 98316400 is 461389.

It is a super-2 number, since 2×98316400² = 19332229017920000, which contains 22 as substring.

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, 1346764 + ... + 1346836.

Almost surely, 2^98316400 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 98316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151330592).

98316400 is an abundant number, since it is smaller than the sum of its proper divisors (204344784).

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

98316400 is a wasteful number, since it uses less digits than its factorization.

98316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 98316400 is about 9915.4626720088. The cubic root of 98316400 is about 461.5392669502.

Adding to 98316400 its reverse (461389), we get a palindrome (98777789).

The spelling of 98316400 in words is "ninety-eight million, three hundred sixteen thousand, four hundred".