98668400 has 60 divisors (see below), whose sum is σ = 239588832. Its totient is φ = 39045120.

The previous prime is 98668331. The next prime is 98668429. The reversal of 98668400 is 486689.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37529 + ... + 40071.

Almost surely, 2^98668400 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 98668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119794416).

98668400 is an abundant number, since it is smaller than the sum of its proper divisors (140920432).

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

98668400 is a wasteful number, since it uses less digits than its factorization.

98668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 98668400 is about 9933.1968670715. The cubic root of 98668400 is about 462.0894237926.

The spelling of 98668400 in words is "ninety-eight million, six hundred sixty-eight thousand, four hundred".