1220585600 has 288 divisors, whose sum is σ = 3408224940. Its totient is φ = 431308800.

The previous prime is 1220585591. The next prime is 1220585603. The reversal of 1220585600 is 65850221.

It can be written as a sum of positive squares in 18 ways, for example, as 397125184 + 823460416 = 19928^2 + 28696^2 .

It is not an unprimeable number, because it can be changed into a prime (1220585603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20009570 + ... + 20009630.

Almost surely, 2^1220585600 is an apocalyptic number.

1220585600 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 1220585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704112470).

1220585600 is an abundant number, since it is smaller than the sum of its proper divisors (2187639340).

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

1220585600 is a wasteful number, since it uses less digits than its factorization.

1220585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 1220585600 is about 34936.8802270609. The cubic root of 1220585600 is about 1068.7006675586.

The spelling of 1220585600 in words is "one billion, two hundred twenty million, five hundred eighty-five thousand, six hundred".