1225078560 has 96 divisors (see below), whose sum is σ = 4287790080. Its totient is φ = 326686464.

The previous prime is 1225078507. The next prime is 1225078571. The reversal of 1225078560 is 658705221.

It is a happy number.

1225078560 is a `hidden beast` number, since 1 + 2 + 25 + 0 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 137472 + ... + 146111.

It is an arithmetic number, because the mean of its divisors is an integer number (44664480).

Almost surely, 2^1225078560 is an apocalyptic number.

1225078560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225078560 is an abundant number, since it is smaller than the sum of its proper divisors (3062711520).

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

1225078560 is a wasteful number, since it uses less digits than its factorization.

1225078560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283607 (or 283593 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1225078560 is about 35001.1222677216. The cubic root of 1225078560 is about 1070.0103530602.

The spelling of 1225078560 in words is "one billion, two hundred twenty-five million, seventy-eight thousand, five hundred sixty".