98360640 has 504 divisors, whose sum is σ = 426869352. Its totient is φ = 20643840.

The previous prime is 98360629. The next prime is 98360671. The reversal of 98360640 is 4606389.

98360640 is a `hidden beast` number, since 9 + 8 + 3 + 6 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 94945536 = 1848^2 + 9744^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 = 98360595 and 98360604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2399020 + ... + 2399060.

It is an arithmetic number, because the mean of its divisors is an integer number (846963).

Almost surely, 2^98360640 is an apocalyptic number.

98360640 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 98360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213434676).

98360640 is an abundant number, since it is smaller than the sum of its proper divisors (328508712).

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

98360640 is a wasteful number, since it uses less digits than its factorization.

98360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 98360640 is about 9917.6932801937. The cubic root of 98360640 is about 461.6084837350.

The spelling of 98360640 in words is "ninety-eight million, three hundred sixty thousand, six hundred forty".