98144640 has 192 divisors, whose sum is σ = 369954000. Its totient is φ = 23777280.

The previous prime is 98144617. The next prime is 98144653. The reversal of 98144640 is 4644189.

It is a happy number.

98144640 is a `hidden beast` number, since 9 + 8 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 98144595 and 98144604.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 62586 + ... + 64134.

Almost surely, 2^98144640 is an apocalyptic number.

98144640 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 98144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184977000).

98144640 is an abundant number, since it is smaller than the sum of its proper divisors (271809360).

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

98144640 is a wasteful number, since it uses less digits than its factorization.

98144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 98144640 is about 9906.7976662492. The cubic root of 98144640 is about 461.2703386277.

The spelling of 98144640 in words is "ninety-eight million, one hundred forty-four thousand, six hundred forty".