1220432960 has 56 divisors (see below), whose sum is σ = 2912812056. Its totient is φ = 487055360.

The previous prime is 1220432957. The next prime is 1220432963. The reversal of 1220432960 is 692340221.

It is an interprime number because it is at equal distance from previous prime (1220432957) and next prime (1220432963).

It can be written as a sum of positive squares in 4 ways, for example, as 157151296 + 1063281664 = 12536^2 + 32608^2 .

It is not an unprimeable number, because it can be changed into a prime (1220432963) 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, 143384 + ... + 151656.

It is an arithmetic number, because the mean of its divisors is an integer number (52014501).

Almost surely, 2^1220432960 is an apocalyptic number.

1220432960 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 1220432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456406028).

1220432960 is an abundant number, since it is smaller than the sum of its proper divisors (1692379096).

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

1220432960 is an equidigital number, since it uses as much as digits as its factorization.

1220432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 1220432960 is about 34934.6956477368. The cubic root of 1220432960 is about 1068.6561170111.

The spelling of 1220432960 in words is "one billion, two hundred twenty million, four hundred thirty-two thousand, nine hundred sixty".