1284088320 has 120 divisors (see below), whose sum is σ = 4447238796. Its totient is φ = 342417408.

The previous prime is 1284088297. The next prime is 1284088327. The reversal of 1284088320 is 238804821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1251461376 + 32626944 = 35376^2 + 5712^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1284088327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4827 + ... + 50906.

Almost surely, 2^1284088320 is an apocalyptic number.

1284088320 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 1284088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223619398).

1284088320 is an abundant number, since it is smaller than the sum of its proper divisors (3163150476).

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

1284088320 is an equidigital number, since it uses as much as digits as its factorization.

1284088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55762 (or 55743 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1284088320 is about 35834.1780985695. The cubic root of 1284088320 is about 1086.9217980662.

The spelling of 1284088320 in words is "one billion, two hundred eighty-four million, eighty-eight thousand, three hundred twenty".