1220546880 has 630 divisors, whose sum is σ = 5218725402. Its totient is φ = 269982720.

The previous prime is 1220546869. The next prime is 1220546891. The reversal of 1220546880 is 886450221.

1220546880 is a `hidden beast` number, since 12 + 20 + 546 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1220546869) and next prime (1220546891).

It can be written as a sum of positive squares in only one way, i.e., 976437504 + 244109376 = 31248^2 + 15624^2 .

It is a tau number, because it is divible by the number of its divisors (630).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 39372465 + ... + 39372495.

Almost surely, 2^1220546880 is an apocalyptic number.

1220546880 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 1220546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609362701).

1220546880 is an abundant number, since it is smaller than the sum of its proper divisors (3998178522).

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

1220546880 is an equidigital number, since it uses as much as digits as its factorization.

1220546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1220546880 is about 34936.3260804567. The cubic root of 1220546880 is about 1068.6893668280.

The spelling of 1220546880 in words is "one billion, two hundred twenty million, five hundred forty-six thousand, eight hundred eighty".