1220587056 has 480 divisors, whose sum is σ = 4246394880. Its totient is φ = 335923200.

The previous prime is 1220587033. The next prime is 1220587073. The reversal of 1220587056 is 6507850221.

It is a happy number.

1220587056 is a `hidden beast` number, since 1 + 2 + 20 + 587 + 0 + 56 = 666.

It is a super-2 number, since 2×1220587056² = 2979665522549494272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1220587056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29770396 + ... + 29770436.

It is an arithmetic number, because the mean of its divisors is an integer number (8846656).

Almost surely, 2^1220587056 is an apocalyptic number.

1220587056 is a gapful number since it is divisible by the number (16) 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 1220587056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123197440).

1220587056 is an abundant number, since it is smaller than the sum of its proper divisors (3025807824).

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

1220587056 is a wasteful number, since it uses less digits than its factorization.

1220587056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1220587056 is about 34936.9010646337. The cubic root of 1220587056 is about 1068.7010924988.

The spelling of 1220587056 in words is "one billion, two hundred twenty million, five hundred eighty-seven thousand, fifty-six".