995781120 has 320 divisors, whose sum is σ = 3500133120. Its totient is φ = 240386048.

The previous prime is 995781097. The next prime is 995781121. The reversal of 995781120 is 21187599.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (995781121) 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 31 ways as a sum of consecutive naturals, for example, 3786109 + ... + 3786371.

It is an arithmetic number, because the mean of its divisors is an integer number (10937916).

Almost surely, 2^995781120 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 995781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750066560).

995781120 is an abundant number, since it is smaller than the sum of its proper divisors (2504352000).

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

995781120 is a wasteful number, since it uses less digits than its factorization.

995781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 995781120 is about 31555.9997464824. Note that the first 3 decimals coincide. The cubic root of 995781120 is about 998.5917243574.

The spelling of 995781120 in words is "nine hundred ninety-five million, seven hundred eighty-one thousand, one hundred twenty".