1012040560 has 60 divisors (see below), whose sum is σ = 2384331768. Its totient is φ = 399494784.

The previous prime is 1012040507. The next prime is 1012040563. The reversal of 1012040560 is 650402101.

It is a super-2 number, since 2×1012040560² = 2048452190170227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012040563) 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 11 ways as a sum of consecutive naturals, for example, 498267 + ... + 500293.

Almost surely, 2^1012040560 is an apocalyptic number.

1012040560 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 1012040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192165884).

1012040560 is an abundant number, since it is smaller than the sum of its proper divisors (1372291208).

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

1012040560 is an equidigital number, since it uses as much as digits as its factorization.

1012040560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1012040560 is about 31812.5849311243. The cubic root of 1012040560 is about 1003.9975185518.

Adding to 1012040560 its reverse (650402101), we get a palindrome (1662442661).

The spelling of 1012040560 in words is "one billion, twelve million, forty thousand, five hundred sixty".