98991360 has 216 divisors, whose sum is σ = 369403944. Its totient is φ = 24330240.

The previous prime is 98991341. The next prime is 98991377. The reversal of 98991360 is 6319989.

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 91240704 = 2784^2 + 9552^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 149430 + ... + 150090.

Almost surely, 2^98991360 is an apocalyptic number.

98991360 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 98991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184701972).

98991360 is an abundant number, since it is smaller than the sum of its proper divisors (270412584).

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

98991360 is a wasteful number, since it uses less digits than its factorization.

98991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 98991360 is about 9949.4401852567. The cubic root of 98991360 is about 462.5930428831.

The spelling of 98991360 in words is "ninety-eight million, nine hundred ninety-one thousand, three hundred sixty".