98013600 has 108 divisors (see below), whose sum is σ = 345645846. Its totient is φ = 26135040.

The previous prime is 98013593. The next prime is 98013631. The reversal of 98013600 is 631089.

It can be written as a sum of positive squares in 3 ways, for example, as 35856144 + 62157456 = 5988^2 + 7884^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 394 + ... + 14006.

Almost surely, 2^98013600 is an apocalyptic number.

98013600 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 98013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172822923).

98013600 is an abundant number, since it is smaller than the sum of its proper divisors (247632246).

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

98013600 is a wasteful number, since it uses less digits than its factorization.

98013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13639 (or 13623 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 98013600 is about 9900.1818165123. The cubic root of 98013600 is about 461.0649554076.

Adding to 98013600 its reverse (631089), we get a palindrome (98644689).

It can be divided in two parts, 9801 and 3600, that multiplied together give a square (35283600 = 5940²).

The spelling of 98013600 in words is "ninety-eight million, thirteen thousand, six hundred".