98366400 has 504 divisors, whose sum is σ = 412723584. Its totient is φ = 22809600.

The previous prime is 98366399. The next prime is 98366417. The reversal of 98366400 is 466389.

98366400 is a `hidden beast` number, since 9 + 8 + 3 + 6 + 640 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 4276789 + ... + 4276811.

It is an arithmetic number, because the mean of its divisors is an integer number (818896).

Almost surely, 2^98366400 is an apocalyptic number.

98366400 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 98366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206361792).

98366400 is an abundant number, since it is smaller than the sum of its proper divisors (314357184).

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

98366400 is a wasteful number, since it uses less digits than its factorization.

98366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 98366400 is about 9917.9836660483. The cubic root of 98366400 is about 461.6174941582.

The spelling of 98366400 in words is "ninety-eight million, three hundred sixty-six thousand, four hundred".