9968805 has 96 divisors (see below), whose sum is σ = 22654080. Its totient is φ = 4112640.

The previous prime is 9968789. The next prime is 9968809. The reversal of 9968805 is 5088699.

It is not a de Polignac number, because 9968805 - 2⁴ = 9968789 is a prime.

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

9968805 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72697 + ... + 72833.

It is an arithmetic number, because the mean of its divisors is an integer number (235980).

Almost surely, 2^9968805 is an apocalyptic number.

It is an amenable number.

9968805 is an abundant number, since it is smaller than the sum of its proper divisors (12685275).

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

9968805 is a wasteful number, since it uses less digits than its factorization.

9968805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9968805 is about 3157.3414449502. The cubic root of 9968805 is about 215.2192103491.

It can be divided in two parts, 996 and 8805, that added together give a square (9801 = 99²).

The spelling of 9968805 in words is "nine million, nine hundred sixty-eight thousand, eight hundred five".