98605440 has 384 divisors, whose sum is σ = 386661600. Its totient is φ = 23003136.

The previous prime is 98605417. The next prime is 98605477. The reversal of 98605440 is 4450689.

98605440 is a `hidden beast` number, since 9 + 8 + 605 + 4 + 40 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 98605395 and 98605404.

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, 1860454 + ... + 1860506.

Almost surely, 2^98605440 is an apocalyptic number.

98605440 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 98605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193330800).

98605440 is an abundant number, since it is smaller than the sum of its proper divisors (288056160).

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

98605440 is a wasteful number, since it uses less digits than its factorization.

98605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

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

The square root of 98605440 is about 9930.0271902951. The cubic root of 98605440 is about 461.9911169372.

The spelling of 98605440 in words is "ninety-eight million, six hundred five thousand, four hundred forty".