953280 has 84 divisors (see below), whose sum is σ = 3288792. Its totient is φ = 253440.

The previous prime is 953273. The next prime is 953297. The reversal of 953280 is 82359.

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 953280.

It is an unprimeable number.

953280 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 11 ways as a sum of consecutive naturals, for example, 2715 + ... + 3045.

2⁹⁵³²⁸⁰ is an apocalyptic number.

953280 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 953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644396).

953280 is an abundant number, since it is smaller than the sum of its proper divisors (2335512).

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

953280 is a wasteful number, since it uses less digits than its factorization.

953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 953280 is about 976.3605891268. The cubic root of 953280 is about 98.4177639950.

It can be divided in two parts, 95 and 3280, that added together give a cube (3375 = 15³).

The spelling of 953280 in words is "nine hundred fifty-three thousand, two hundred eighty".