1225664320 has 56 divisors (see below), whose sum is σ = 2953841184. Its totient is φ = 484348416.

The previous prime is 1225664311. The next prime is 1225664357. The reversal of 1225664320 is 234665221.

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 7 ways as a sum of consecutive naturals, for example, 3487 + ... + 49633.

It is an arithmetic number, because the mean of its divisors is an integer number (52747164).

Almost surely, 2^1225664320 is an apocalyptic number.

1225664320 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 1225664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476920592).

1225664320 is an abundant number, since it is smaller than the sum of its proper divisors (1728176864).

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

1225664320 is an equidigital number, since it uses as much as digits as its factorization.

1225664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46247 (or 46237 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 1225664320 is about 35009.4889994127. The cubic root of 1225664320 is about 1070.1808644099.

Subtracting from 1225664320 its reverse (234665221), we obtain a palindrome (990999099).

The spelling of 1225664320 in words is "one billion, two hundred twenty-five million, six hundred sixty-four thousand, three hundred twenty".