99701280 has 360 divisors, whose sum is σ = 411916428. Its totient is φ = 22643712.

The previous prime is 99701279. The next prime is 99701317. The reversal of 99701280 is 8210799.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96589584 + 3111696 = 9828^2 + 1764^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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 59 ways as a sum of consecutive naturals, for example, 634962 + ... + 635118.

Almost surely, 2^99701280 is an apocalyptic number.

99701280 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 99701280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205958214).

99701280 is an abundant number, since it is smaller than the sum of its proper divisors (312215148).

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

99701280 is a wasteful number, since it uses less digits than its factorization.

99701280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 99701280 is about 9985.0528291041. The cubic root of 99701280 is about 463.6962439174.

The spelling of 99701280 in words is "ninety-nine million, seven hundred one thousand, two hundred eighty".