9995040 has 144 divisors (see below), whose sum is σ = 37267776. Its totient is φ = 2419200.

The previous prime is 9995039. The next prime is 9995057. The reversal of 9995040 is 405999.

9995040 = 399² + 400² + ... + 453².

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 9994986 and 9995004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15525 + ... + 16155.

It is an arithmetic number, because the mean of its divisors is an integer number (258804).

Almost surely, 2^9995040 is an apocalyptic number.

9995040 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 9995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633888).

9995040 is an abundant number, since it is smaller than the sum of its proper divisors (27272736).

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

9995040 is a wasteful number, since it uses less digits than its factorization.

9995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9995040 is about 3161.4933180382. The cubic root of 9995040 is about 215.4078431255.

The spelling of 9995040 in words is "nine million, nine hundred ninety-five thousand, forty".