98409600 has 384 divisors, whose sum is σ = 387028800. Its totient is φ = 24330240.

The previous prime is 98409559. The next prime is 98409601. The reversal of 98409600 is 690489.

98409600 is a `hidden beast` number, since 9 + 8 + 40 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (98409601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468767 + ... + 1468833.

Almost surely, 2^98409600 is an apocalyptic number.

98409600 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 98409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193514400).

98409600 is an abundant number, since it is smaller than the sum of its proper divisors (288619200).

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

98409600 is a wasteful number, since it uses less digits than its factorization.

98409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 98409600 is about 9920.1612890114. The cubic root of 98409600 is about 461.6850611226.

The spelling of 98409600 in words is "ninety-eight million, four hundred nine thousand, six hundred".