1056086480 has 80 divisors (see below), whose sum is σ = 2514816720. Its totient is φ = 412299264.

The previous prime is 1056086477. The next prime is 1056086483. The reversal of 1056086480 is 846806501.

It is an interprime number because it is at equal distance from previous prime (1056086477) and next prime (1056086483).

It can be written as a sum of positive squares in 8 ways, for example, as 18215824 + 1037870656 = 4268^2 + 32216^2 .

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

It is a super-2 number, since 2×1056086480² = 2230637306477580800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056086483) 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, 987386 + ... + 988454.

It is an arithmetic number, because the mean of its divisors is an integer number (31435209).

Almost surely, 2^1056086480 is an apocalyptic number.

1056086480 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 1056086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257408360).

1056086480 is an abundant number, since it is smaller than the sum of its proper divisors (1458730240).

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

1056086480 is a wasteful number, since it uses less digits than its factorization.

1056086480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 1056086480 is about 32497.4842103200. The cubic root of 1056086480 is about 1018.3564714887.

The spelling of 1056086480 in words is "one billion, fifty-six million, eighty-six thousand, four hundred eighty".