99785920 has 168 divisors, whose sum is σ = 275106384. Its totient is φ = 34258944.

The previous prime is 99785911. The next prime is 99785921. The reversal of 99785920 is 2958799.

It is not an unprimeable number, because it can be changed into a prime (99785921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1202199 + ... + 1202281.

It is an arithmetic number, because the mean of its divisors is an integer number (1637538).

Almost surely, 2^99785920 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 99785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137553192).

99785920 is an abundant number, since it is smaller than the sum of its proper divisors (175320464).

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

99785920 is a wasteful number, since it uses less digits than its factorization.

99785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 49.

The square root of 99785920 is about 9989.2902650789. The cubic root of 99785920 is about 463.8274229393.

The spelling of 99785920 in words is "ninety-nine million, seven hundred eighty-five thousand, nine hundred twenty".