1056870144 has 324 divisors, whose sum is σ = 3562348608. Its totient is φ = 300072960.

The previous prime is 1056870121. The next prime is 1056870151. The reversal of 1056870144 is 4410786501.

It is a happy number.

1056870144 is a `hidden beast` number, since 10 + 568 + 70 + 14 + 4 = 666.

It is a super-2 number, since 2×1056870144² = 2233949002557161472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1056870099 and 1056870108.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4739217 + ... + 4739439.

Almost surely, 2^1056870144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781174304).

1056870144 is an abundant number, since it is smaller than the sum of its proper divisors (2505478464).

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

1056870144 is a wasteful number, since it uses less digits than its factorization.

1056870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1056870144 is about 32509.5392769568. The cubic root of 1056870144 is about 1018.6082980850.

The spelling of 1056870144 in words is "one billion, fifty-six million, eight hundred seventy thousand, one hundred forty-four".