98732160 has 192 divisors, whose sum is σ = 347756760. Its totient is φ = 25804800.

The previous prime is 98732159. The next prime is 98732167. The reversal of 98732160 is 6123789.

It can be written as a sum of positive squares in 4 ways, for example, as 60093504 + 38638656 = 7752^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 (98732167) 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, 351220 + ... + 351500.

Almost surely, 2^98732160 is an apocalyptic number.

98732160 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 98732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173878380).

98732160 is an abundant number, since it is smaller than the sum of its proper divisors (249024600).

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

98732160 is a wasteful number, since it uses less digits than its factorization.

98732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 98732160 is about 9936.4057888152. The cubic root of 98732160 is about 462.1889371714.

The spelling of 98732160 in words is "ninety-eight million, seven hundred thirty-two thousand, one hundred sixty".