1227514880 has 88 divisors (see below), whose sum is σ = 2961976248. Its totient is φ = 488112128.

The previous prime is 1227514861. The next prime is 1227514889. The reversal of 1227514880 is 884157221.

It can be written as a sum of positive squares in 4 ways, for example, as 345662464 + 881852416 = 18592^2 + 29696^2 .

It is not an unprimeable number, because it can be changed into a prime (1227514889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008032 + ... + 1009248.

It is an arithmetic number, because the mean of its divisors is an integer number (33658821).

Almost surely, 2^1227514880 is an apocalyptic number.

1227514880 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 1227514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480988124).

1227514880 is an abundant number, since it is smaller than the sum of its proper divisors (1734461368).

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

1227514880 is a wasteful number, since it uses less digits than its factorization.

1227514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 1227514880 is about 35035.9084369165. The cubic root of 1227514880 is about 1070.7191950629.

The spelling of 1227514880 in words is "one billion, two hundred twenty-seven million, five hundred fourteen thousand, eight hundred eighty".