1056613460 has 72 divisors (see below), whose sum is σ = 2644211304. Its totient is φ = 353418240.

The previous prime is 1056613451. The next prime is 1056613469. The reversal of 1056613460 is 643166501.

It is an interprime number because it is at equal distance from previous prime (1056613451) and next prime (1056613469).

It can be written as a sum of positive squares in 4 ways, for example, as 753424 + 1055860036 = 868^2 + 32494^2 .

It is a super-2 number, since 2×1056613460² = 2232864007706343200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056613469) 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 23 ways as a sum of consecutive naturals, for example, 27032 + ... + 53328.

It is an arithmetic number, because the mean of its divisors is an integer number (36725157).

Almost surely, 2^1056613460 is an apocalyptic number.

1056613460 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 1056613460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322105652).

1056613460 is an abundant number, since it is smaller than the sum of its proper divisors (1587597844).

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

1056613460 is a wasteful number, since it uses less digits than its factorization.

1056613460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26361 (or 26352 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1056613460 is about 32505.5912113593. The cubic root of 1056613460 is about 1018.5258276497.

Adding to 1056613460 its reverse (643166501), we get a palindrome (1699779961).

The spelling of 1056613460 in words is "one billion, fifty-six million, six hundred thirteen thousand, four hundred sixty".