1953280 has 80 divisors (see below), whose sum is σ = 5401440. Its totient is φ = 663552.

The previous prime is 1953277. The next prime is 1953299. The reversal of 1953280 is 823591.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 1 + 9 + 5⁹ + 3² + 2⁷ + 8 + 0 .

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17866 + ... + 17974.

It is an arithmetic number, because the mean of its divisors is an integer number (67518).

2^1953280 is an apocalyptic number.

1953280 is a gapful number since it is divisible by the number (10) 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 1953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700720).

1953280 is an abundant number, since it is smaller than the sum of its proper divisors (3448160).

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

1953280 is an equidigital number, since it uses as much as digits as its factorization.

1953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1953280 is about 1397.5979393230. The cubic root of 1953280 is about 125.0033065792.

The spelling of 1953280 in words is "one million, nine hundred fifty-three thousand, two hundred eighty".