1220654440 has 64 divisors (see below), whose sum is σ = 2790365760. Its totient is φ = 480506880.

The previous prime is 1220654429. The next prime is 1220654443. The reversal of 1220654440 is 444560221.

It is a junction number, because it is equal to n+sod(n) for n = 1220654399 and 1220654408.

It is not an unprimeable number, because it can be changed into a prime (1220654443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118295 + ... + 1119385.

It is an arithmetic number, because the mean of its divisors is an integer number (43599465).

Almost surely, 2^1220654440 is an apocalyptic number.

1220654440 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 1220654440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395182880).

1220654440 is an abundant number, since it is smaller than the sum of its proper divisors (1569711320).

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

1220654440 is a wasteful number, since it uses less digits than its factorization.

1220654440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1220654440 is about 34937.8654184826. The cubic root of 1220654440 is about 1068.7207584535.

The spelling of 1220654440 in words is "one billion, two hundred twenty million, six hundred fifty-four thousand, four hundred forty".