98242560 has 312 divisors, whose sum is σ = 375672024. Its totient is φ = 23592960.

The previous prime is 98242553. The next prime is 98242567. The reversal of 98242560 is 6524289.

It is a happy number.

98242560 is a `hidden beast` number, since 98 + 2 + 4 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (98242553) and next prime (98242567).

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 95883264 = 1536^2 + 9792^2 .

It is a tau number, because it is divible by the number of its divisors (312).

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

It is not an unprimeable number, because it can be changed into a prime (98242567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396140 + ... + 2396180.

It is an arithmetic number, because the mean of its divisors is an integer number (1204077).

Almost surely, 2^98242560 is an apocalyptic number.

98242560 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 98242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187836012).

98242560 is an abundant number, since it is smaller than the sum of its proper divisors (277429464).

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

98242560 is a wasteful number, since it uses less digits than its factorization.

98242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

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

The square root of 98242560 is about 9911.7384953398. The cubic root of 98242560 is about 461.4236924888.

The spelling of 98242560 in words is "ninety-eight million, two hundred forty-two thousand, five hundred sixty".