99982080 has 288 divisors, whose sum is σ = 388523520. Its totient is φ = 24145920.

The previous prime is 99982079. The next prime is 99982097. The reversal of 99982080 is 8028999.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×99982080² = 19992832642252800, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 380029 + ... + 380291.

It is an arithmetic number, because the mean of its divisors is an integer number (1349040).

Almost surely, 2^99982080 is an apocalyptic number.

99982080 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 99982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194261760).

99982080 is an abundant number, since it is smaller than the sum of its proper divisors (288541440).

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

99982080 is a wasteful number, since it uses less digits than its factorization.

99982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 99982080 is about 9999.1039598556. The cubic root of 99982080 is about 464.1311559477.

The spelling of 99982080 in words is "ninety-nine million, nine hundred eighty-two thousand, eighty".