99281680 has 40 divisors (see below), whose sum is σ = 232407000. Its totient is φ = 39441408.

The previous prime is 99281659. The next prime is 99281681. The reversal of 99281680 is 8618299.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 98089216 = 1092^2 + 9904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×99281680³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (99281681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7756 + ... + 16084.

It is an arithmetic number, because the mean of its divisors is an integer number (5810175).

Almost surely, 2^99281680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99281680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116203500).

99281680 is an abundant number, since it is smaller than the sum of its proper divisors (133125320).

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

99281680 is a wasteful number, since it uses less digits than its factorization.

99281680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8491 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 99281680 is about 9964.0192693511. The cubic root of 99281680 is about 463.0448295672.

The spelling of 99281680 in words is "ninety-nine million, two hundred eighty-one thousand, six hundred eighty".