995916960 has 144 divisors (see below), whose sum is σ = 3420222624. Its totient is φ = 263886336.

The previous prime is 995916953. The next prime is 995916973. The reversal of 995916960 is 69619599.

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

It is a junction number, because it is equal to n+sod(n) for n = 995916897 and 995916906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232599 + ... + 236841.

It is an arithmetic number, because the mean of its divisors is an integer number (23751546).

Almost surely, 2^995916960 is an apocalyptic number.

995916960 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 995916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710111312).

995916960 is an abundant number, since it is smaller than the sum of its proper divisors (2424305664).

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

995916960 is a wasteful number, since it uses less digits than its factorization.

995916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The square root of 995916960 is about 31558.1520371520. The cubic root of 995916960 is about 998.6371300961.

The spelling of 995916960 in words is "nine hundred ninety-five million, nine hundred sixteen thousand, nine hundred sixty".