1225174560 has 192 divisors, whose sum is σ = 4019549184. Its totient is φ = 313344000.

The previous prime is 1225174543. The next prime is 1225174567. The reversal of 1225174560 is 654715221.

It is not an unprimeable number, because it can be changed into a prime (1225174567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2038260 + ... + 2038860.

It is an arithmetic number, because the mean of its divisors is an integer number (20935152).

Almost surely, 2^1225174560 is an apocalyptic number.

1225174560 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 1225174560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009774592).

1225174560 is an abundant number, since it is smaller than the sum of its proper divisors (2794374624).

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

1225174560 is a wasteful number, since it uses less digits than its factorization.

1225174560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1225174560 is about 35002.4936254547. The cubic root of 1225174560 is about 1070.0383018286.

Adding to 1225174560 its reverse (654715221), we get a palindrome (1879889781).

The spelling of 1225174560 in words is "one billion, two hundred twenty-five million, one hundred seventy-four thousand, five hundred sixty".