98906400 has 288 divisors, whose sum is σ = 378100800. Its totient is φ = 24883200.

The previous prime is 98906387. The next prime is 98906447. The reversal of 98906400 is 460989.

98906400 is a `hidden beast` number, since 9 + 8 + 9 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 410280 + ... + 410520.

It is an arithmetic number, because the mean of its divisors is an integer number (1312850).

Almost surely, 2^98906400 is an apocalyptic number.

98906400 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 98906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

98906400 is an abundant number, since it is smaller than the sum of its proper divisors (279194400).

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

98906400 is a wasteful number, since it uses less digits than its factorization.

98906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

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

The square root of 98906400 is about 9945.1696818104. The cubic root of 98906400 is about 462.4606638081.

It can be divided in two parts, 9890 and 6400, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 98906400 in words is "ninety-eight million, nine hundred six thousand, four hundred".