1056061040 has 80 divisors (see below), whose sum is σ = 2633536800. Its totient is φ = 392610816.

The previous prime is 1056060991. The next prime is 1056061043. The reversal of 1056061040 is 401606501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1056061040³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1056060997 and 1056061015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056061043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74006 + ... + 87114.

It is an arithmetic number, because the mean of its divisors is an integer number (32919210).

Almost surely, 2^1056061040 is an apocalyptic number.

1056061040 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 1056061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316768400).

1056061040 is an abundant number, since it is smaller than the sum of its proper divisors (1577475760).

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

1056061040 is a wasteful number, since it uses less digits than its factorization.

1056061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13194 (or 13188 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1056061040 is about 32497.0927930484. The cubic root of 1056061040 is about 1018.3482943816.

Adding to 1056061040 its reverse (401606501), we get a palindrome (1457667541).

The spelling of 1056061040 in words is "one billion, fifty-six million, sixty-one thousand, forty".