1012426560 has 224 divisors, whose sum is σ = 3669304320. Its totient is φ = 262600704.

The previous prime is 1012426549. The next prime is 1012426567. The reversal of 1012426560 is 656242101.

1012426560 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 4 + 2 + 656 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012426567) 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 31 ways as a sum of consecutive naturals, for example, 318097 + ... + 321263.

Almost surely, 2^1012426560 is an apocalyptic number.

1012426560 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 1012426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834652160).

1012426560 is an abundant number, since it is smaller than the sum of its proper divisors (2656877760).

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

1012426560 is a wasteful number, since it uses less digits than its factorization.

1012426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1012426560 is about 31818.6511342011. The cubic root of 1012426560 is about 1004.1251464346.

Adding to 1012426560 its reverse (656242101), we get a palindrome (1668668661).

The spelling of 1012426560 in words is "one billion, twelve million, four hundred twenty-six thousand, five hundred sixty".