1027222560 has 720 divisors, whose sum is σ = 4553309376. Its totient is φ = 213497856.

The previous prime is 1027222513. The next prime is 1027222561. The reversal of 1027222560 is 652227201.

1027222560 is a `hidden beast` number, since 10 + 2 + 72 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1027222561) 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 119 ways as a sum of consecutive naturals, for example, 15331647 + ... + 15331713.

Almost surely, 2^1027222560 is an apocalyptic number.

1027222560 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 1027222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276654688).

1027222560 is an abundant number, since it is smaller than the sum of its proper divisors (3526086816).

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

1027222560 is a wasteful number, since it uses less digits than its factorization.

1027222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1027222560 is about 32050.3129469901. The cubic root of 1027222560 is about 1008.9930689387.

Adding to 1027222560 its reverse (652227201), we get a palindrome (1679449761).

The spelling of 1027222560 in words is "one billion, twenty-seven million, two hundred twenty-two thousand, five hundred sixty".