99001680 has 80 divisors (see below), whose sum is σ = 309248064. Its totient is φ = 26199040.

The previous prime is 99001663. The next prime is 99001691. The reversal of 99001680 is 8610099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 31375 + ... + 34385.

Almost surely, 2^99001680 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 99001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154624032).

99001680 is an abundant number, since it is smaller than the sum of its proper divisors (210246384).

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

99001680 is a wasteful number, since it uses less digits than its factorization.

99001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 99001680 is about 9949.9587938845. The cubic root of 99001680 is about 462.6091176675.

It can be divided in two parts, 99001 and 680, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 99001680 in words is "ninety-nine million, one thousand, six hundred eighty".