98589960 has 384 divisors, whose sum is σ = 403833600. Its totient is φ = 21555072.

The previous prime is 98589949. The next prime is 98589977. The reversal of 98589960 is 6998589.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98589897 and 98589906.

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 95 ways as a sum of consecutive naturals, for example, 4286509 + ... + 4286531.

It is an arithmetic number, because the mean of its divisors is an integer number (1051650).

Almost surely, 2^98589960 is an apocalyptic number.

98589960 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 98589960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201916800).

98589960 is an abundant number, since it is smaller than the sum of its proper divisors (305243640).

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

98589960 is a wasteful number, since it uses less digits than its factorization.

98589960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 98589960 is about 9929.2477056422. The cubic root of 98589960 is about 461.9669397831.

The spelling of 98589960 in words is "ninety-eight million, five hundred eighty-nine thousand, nine hundred sixty".