995280 has 160 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 215040.

The previous prime is 995273. The next prime is 995303. The reversal of 995280 is 82599.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 995280.

It is an unprimeable number.

995280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34306 + ... + 34334.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁹⁹⁵²⁸⁰ 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 995280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

995280 is an abundant number, since it is smaller than the sum of its proper divisors (2754480).

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

995280 is a wasteful number, since it uses less digits than its factorization.

995280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 995280 is about 997.6372086084. The cubic root of 995280 is about 99.8424184777.

It can be divided in two parts, 995 and 280, that added together give a triangular number (1275 = T₅₀).

The spelling of 995280 in words is "nine hundred ninety-five thousand, two hundred eighty".