98654400 has 504 divisors, whose sum is σ = 412723584. Its totient is φ = 22118400.

The previous prime is 98654389. The next prime is 98654401. The reversal of 98654400 is 445689.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (98654401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3182385 + ... + 3182415.

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

Almost surely, 2^98654400 is an apocalyptic number.

98654400 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 98654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206361792).

98654400 is an abundant number, since it is smaller than the sum of its proper divisors (314069184).

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

98654400 is a wasteful number, since it uses less digits than its factorization.

98654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 98654400 is about 9932.4921344041. The cubic root of 98654400 is about 462.0675675620.

The spelling of 98654400 in words is "ninety-eight million, six hundred fifty-four thousand, four hundred".