98411040 has 288 divisors, whose sum is σ = 413876736. Its totient is φ = 20736000.

The previous prime is 98411039. The next prime is 98411057. The reversal of 98411040 is 4011489.

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

It is a junction number, because it is equal to n+sod(n) for n = 98410995 and 98411013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130665 + ... + 131415.

It is an arithmetic number, because the mean of its divisors is an integer number (1437072).

Almost surely, 2^98411040 is an apocalyptic number.

98411040 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 98411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206938368).

98411040 is an abundant number, since it is smaller than the sum of its proper divisors (315465696).

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

98411040 is a wasteful number, since it uses less digits than its factorization.

98411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 98411040 is about 9920.2338682110. The cubic root of 98411040 is about 461.6873130142.

The spelling of 98411040 in words is "ninety-eight million, four hundred eleven thousand, forty".