1221586080 has 432 divisors, whose sum is σ = 4671735264. Its totient is φ = 265973760.

The previous prime is 1221586063. The next prime is 1221586081. The reversal of 1221586080 is 806851221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221586081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33015822 + ... + 33015858.

It is an arithmetic number, because the mean of its divisors is an integer number (10814202).

Almost surely, 2^1221586080 is an apocalyptic number.

1221586080 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 1221586080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335867632).

1221586080 is an abundant number, since it is smaller than the sum of its proper divisors (3450149184).

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

1221586080 is a wasteful number, since it uses less digits than its factorization.

1221586080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1221586080 is about 34951.1956877014. The cubic root of 1221586080 is about 1068.9925825329.

The spelling of 1221586080 in words is "one billion, two hundred twenty-one million, five hundred eighty-six thousand, eighty".